{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:19:57Z","timestamp":1758824397368},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,11,18]],"date-time":"2015-11-18T00:00:00Z","timestamp":1447804800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2017,3]]},"DOI":"10.1007\/s00521-015-2080-z","type":"journal-article","created":{"date-parts":[[2015,11,18]],"date-time":"2015-11-18T05:24:46Z","timestamp":1447824286000},"page":"585-595","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Extension of Laplace transform\u2013homotopy perturbation method to solve nonlinear differential equations with variable coefficients defined with Robin boundary conditions"],"prefix":"10.1007","volume":"28","author":[{"given":"U.","family":"Filobello-Nino","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Vazquez-Leal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yasir","family":"Khan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Sandoval-Hernandez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Perez-Sesma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Sarmiento-Reyes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brahim","family":"Benhammouda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V. M.","family":"Jimenez-Fernandez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Huerta-Chua","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. F.","family":"Hernandez-Machuca","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. M.","family":"Mendez-Perez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L. J.","family":"Morales-Mendoza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Gonzalez-Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,11,18]]},"reference":[{"key":"2080_CR1","unstructured":"Spiegel MR (1998) Teor\u00eda y Problemas de Transformadas de Laplace, primera edici\u00f3n. Serie de compendios Schaum, McGraw-Hill, M\u00e9xico"},{"issue":"6","key":"2080_CR2","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1002\/htj.20411","volume":"41","author":"H Aminikhan","year":"2012","unstructured":"Aminikhan H, Hemmatnezhad M (2012) A novel effective approach for solving nonlinear heat transfer equations. Heat Transf Asian Res 41(6):459\u2013466","journal-title":"Heat Transf Asian Res"},{"key":"2080_CR3","doi-asserted-by":"crossref","first-page":"3638","DOI":"10.1016\/j.apm.2011.10.014","volume":"36","author":"Hossein Aminikhah","year":"2012","unstructured":"Aminikhah Hossein (2012) The combined Laplace transform and new homotopy perturbation method for stiff systems of ODEs. Appl Math Model 36:3638\u20133644","journal-title":"Appl Math Model"},{"key":"2080_CR4","doi-asserted-by":"publisher","unstructured":"Filobello-Nino U, Vazquez-Leal H, Khan Y, Perez-Sesma A, Diaz-Sanchez A, Jimenez-Fernandez VM, Herrera-May A, Pereyra-Diaz D, Mendez-Perez JM, Sanchez-Orea J (2013) Laplace transform\u2013homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals. Comput Appl Math. ISSN:0101-8205. doi: 10.1007\/s40314-013-0073-z","DOI":"10.1007\/s40314-013-0073-z"},{"key":"2080_CR5","doi-asserted-by":"publisher","unstructured":"Filobello-Nino U, Vazquez-Leal H, Cervantes-Perez J, Benhammouda B, Perez-Sesma A, Hernandez-Martinez L, Jimenez-Fernandez VM, Herrera-May AL, Pereyra-Diaz D, Marin-Hernandez A, Huerta Chua J (2014). A handy approximate solution for a squeezing flow between two infinite plates by using of Laplace transform\u2013homotopy perturbation method. SpringerPlus, 3:421, 10\u00a0pp. doi: 10.1186\/2193-1801-3-421","DOI":"10.1186\/2193-1801-3-421"},{"key":"2080_CR6","doi-asserted-by":"publisher","unstructured":"Filobello-Nino U, Vazquez-Leal H, Benhammouda B, Hernandez-Martinez L, Hoyos-Reyes C, Perez-Sesma JAA, Manuel Jimenez-Fernandez V, Pereyra-Diaz D, Marin-Hernandez A, Diaz-Sanchez A, Huerta-Chua J, Cervantes-Perez J (2014) Nonlinearities distribution Laplace transform\u2013homotopy perturbation method. SpringerPlus 3:594. doi: 10.1186\/2193-1801-3-594","DOI":"10.1186\/2193-1801-3-594"},{"key":"2080_CR7","doi-asserted-by":"publisher","unstructured":"Rach R, Wazwaz A-M, Duan J-S (2014) A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. Int J Biomath 7(2):1450020. doi: 10.1142\/S179352451450020X","DOI":"10.1142\/S179352451450020X"},{"issue":"2","key":"2080_CR8","doi-asserted-by":"publisher","first-page":"253","DOI":"10.14419\/ijamr.v4i2.4273","volume":"4","author":"H Vazquez-Leal","year":"2015","unstructured":"Vazquez-Leal H, Sandoval-Hernandez M, Castaneda-Sheissa R, Filobello-Nino U, Sarmiento-Reyes A (2015) Modified Taylor solution of equation of oxygen diffusion in a spherical cell with Michaelis-Menten uptake kinetics. J Appl Math Res 4(2):253\u2013258. doi: 10.14419\/ijamr.v4i2.4273","journal-title":"J Appl Math Res"},{"key":"2080_CR9","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/0022-5193(76)90071-0","volume":"60","author":"SH Lin","year":"1976","unstructured":"Lin SH (1976) Oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. J Theor Biol 60:449\u2013457","journal-title":"J Theor Biol"},{"key":"2080_CR10","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1088\/0031-8949\/76\/2\/008","volume":"76","author":"LMB Assas","year":"2007","unstructured":"Assas LMB (2007) Approximate solutions for the generalized K-dV- Burgers\u2019 equation by He\u2019s variational iteration method. Phys Scr 76:161\u2013164. doi: 10.1088\/0031-8949\/76\/2\/008","journal-title":"Phys Scr"},{"key":"2080_CR11","doi-asserted-by":"publisher","first-page":"1430","DOI":"10.1016\/j.chaos.2006.10.026","volume":"34","author":"JH He","year":"2007","unstructured":"He JH (2007) Variational approach for nonlinear oscillators. Chaos Solitons Fractals 34:1430\u20131439. doi: 10.1016\/j.chaos.2006.10.026","journal-title":"Chaos Solitons Fractals"},{"key":"2080_CR12","doi-asserted-by":"publisher","first-page":"4192","DOI":"10.3923\/jas.2008.4192.4197","volume":"8","author":"M Kazemnia","year":"2008","unstructured":"Kazemnia M, Zahedi SA, Vaezi M, Tolou N (2008) Assessment of modified variational iteration method in BVPs high-order differential equations. J Appl Sci 8:4192\u20134197. doi: 10.3923\/jas.2008.4192.4197","journal-title":"J Appl Sci"},{"key":"2080_CR13","doi-asserted-by":"publisher","first-page":"369","DOI":"10.3923\/jas.2008.369.373","volume":"8","author":"R Noorzad","year":"2008","unstructured":"Noorzad R, Tahmasebi Poor A, Omidvar M (2008) Variational iteration method and homotopy-perturbation method for solving Burgers equation in fluid dynamics. J Appl Sci 8:369\u2013373. doi: 10.3923\/jas.2008.369.373","journal-title":"J Appl Sci"},{"key":"2080_CR14","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1080\/00207160412331336026","volume":"82","author":"DJ Evans","year":"2005","unstructured":"Evans DJ, Raslan KR (2005) The Tanh function method for solving some important nonlinear partial differential. Int J Comput Math 82:897\u2013905. doi: 10.1080\/00207160412331336026","journal-title":"Int J Comput Math"},{"issue":"12","key":"2080_CR15","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1515\/zna-2007-1202","volume":"62","author":"F Xu","year":"2007","unstructured":"Xu F (2007) A generalized soliton solution of the Konopelchenko\u2013Dubrovsky equation using exp-function method. Zeitschrift Naturforschung Sect A J Phys Sci 62(12):685\u2013688","journal-title":"Zeitschrift Naturforschung Sect A J Phys Sci"},{"key":"2080_CR16","doi-asserted-by":"publisher","first-page":"358","DOI":"10.3923\/jas.2008.358.363","volume":"8","author":"J Mahmoudi","year":"2008","unstructured":"Mahmoudi J, Tolou N, Khatami I, Barari A, Ganji DD (2008) Explicit solution of nonlinear ZK\u2013BBM wave equation using Exp-function method. J Appl Sci 8:358\u2013363. doi: 10.3923\/jas.2008.358.363","journal-title":"J Appl Sci"},{"key":"2080_CR17","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/0022-247X(88)90170-9","volume":"135","author":"G Adomian","year":"1988","unstructured":"Adomian G (1988) A review of decomposition method in applied mathematics. Math Anal Appl 135:501\u2013544","journal-title":"Math Anal Appl"},{"issue":"2","key":"2080_CR18","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1016\/S0096-3003(01)00103-5","volume":"130","author":"E Babolian","year":"2002","unstructured":"Babolian E, Biazar J (2002) On the order of convergence of Adomian method. Appl Math Comput 130(2):383\u2013387. doi: 10.1016\/S0096-3003(01)00103-5","journal-title":"Appl Math Comput"},{"issue":"1","key":"2080_CR19","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/s10483-012-1531-7","volume":"33","author":"M Sheikholeslami","year":"2012","unstructured":"Sheikholeslami M, Ganji DD, Ashorynejad HR, Rokni HB (2012) Analytical investigation of Jeffery\u2013Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method. Appl Math Mech English Edn 33(1):25\u201336. doi: 10.1007\/s10483-012-1531-7","journal-title":"Appl Math Mech English Edn"},{"key":"2080_CR20","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/j.powtec.2013.02.006","volume":"239","author":"M Sheikholeslami","year":"2013","unstructured":"Sheikholeslami M, Ganji DD, Ashorynejad HR (2013) Investigation of squeezing unsteady nanofluid flow using ADM. Powder Technol 239:259\u2013265","journal-title":"Powder Technol"},{"key":"2080_CR21","unstructured":"Zhang L-N, Xu L (2007) Determination of the limit cycle by He\u2019s parameter expansion for oscillators in a potential. Zeitschriftf\u00fcr Naturforschung Sect A J Phys Sci 62(7\u20138):396\u2013398"},{"key":"2080_CR22","doi-asserted-by":"publisher","unstructured":"Aminikhah H (2011) Analytical approximation to the solution of nonlinear Blasius viscous flow equation by LTNHPM. International Scholarly Research Network ISRN Mathematical Analysis, Volume 2012, Article ID 957473, 10\u00a0pp. doi: 10.5402\/2012\/957473","DOI":"10.5402\/2012\/957473"},{"key":"2080_CR23","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/S0020-7462(98)00085-7","volume":"351","author":"JH He","year":"1998","unstructured":"He JH (1998) A coupling method of a homotopy technique and a perturbation technique for nonlinear problems. Int J Non-Linear Mech 351:37\u201343. doi: 10.1016\/S0020-7462(98)00085-7","journal-title":"Int J Non-Linear Mech"},{"key":"2080_CR24","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1016\/S0045-7825(99)00018-3","volume":"178","author":"JH He","year":"1999","unstructured":"He JH (1999) Homotopy perturbation technique. Comput Methods Appl Mech Eng 178:257\u2013262. doi: 10.1016\/S0045-7825(99)00018-3","journal-title":"Comput Methods Appl Mech Eng"},{"key":"2080_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-22735-6","volume-title":"Nonlinear dynamical systems in engineering","author":"V Marinca","year":"2011","unstructured":"Marinca V, Herisanu N (2011) Nonlinear dynamical systems in engineering, 1st edn. Springer, Berlin","edition":"1"},{"key":"2080_CR26","doi-asserted-by":"crossref","first-page":"1143","DOI":"10.1016\/j.mcm.2011.09.038","volume":"55","author":"M Khan","year":"2011","unstructured":"Khan M, Gondal MA, Hussain I, Karimi Vanani S (2011) A new study between homotopy analysis method and homotopy perturbation transform method on a semi infinite domain. Math Comput Model 55:1143\u20131150","journal-title":"Math Comput Model"},{"issue":"1\u20132","key":"2080_CR27","first-page":"87","volume":"350","author":"JH He","year":"2006","unstructured":"He JH (2006) Homotopy perturbation method for solving boundary value problems. Phys Lett A 350(1\u20132):87\u201388","journal-title":"Phys Lett A"},{"issue":"8","key":"2080_CR28","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.9734\/BJMCS\/2014\/7714","volume":"4","author":"H Vazquez-Leal","year":"2014","unstructured":"Vazquez-Leal H, Hernandez-Martinez L, Khan Y, Jimenez-Fernandez VM, Filobello-Nino U, Diaz-Sanchez A, Herrera-May AL, Castaneda-Sheissa R, Marin-Hernandez A, Rabago-Bernal F, Huerta-Chua J (2014) Multistage HPM applied to path tracking damped oscillations of a model for HIV infection of CD4\u00a0+\u00a0T cells. Br J Math Computer Sci 4(8):1035\u20131047","journal-title":"Br J Math Computer Sci"},{"key":"2080_CR29","doi-asserted-by":"publisher","unstructured":"Vazquez-Leal H, Sarmiento-Reyes A, Khan Y, Filobello-Nino U, Diaz-Sanchez A (2012) Rational biparameter homotopy perturbation method and laplace-pad\u00e9 coupled version. J Appl Math Article ID 923975, 21\u00a0pp. doi: 10.1155\/2012\/923975","DOI":"10.1155\/2012\/923975"},{"key":"2080_CR30","doi-asserted-by":"publisher","first-page":"1256","DOI":"10.3923\/jas.2008.1256.1261","volume":"8","author":"DD Ganji","year":"2008","unstructured":"Ganji DD, Mirgolbabaei H, Me M, Mo M (2008) Application of homotopy perturbation method to solve linear and non-linear systems of ordinary differential equations and differential equation of order three. J Appl Sci 8:1256\u20131261. doi: 10.3923\/jas.2008.1256.1261","journal-title":"J Appl Sci"},{"key":"2080_CR31","doi-asserted-by":"crossref","unstructured":"Biazar J, Eslami M (2012) A new homotopy perturbation method for solving systems of partial differential equations. Comput Math Appl 62:225\u2013234","DOI":"10.1016\/j.camwa.2011.04.070"},{"key":"2080_CR32","doi-asserted-by":"publisher","unstructured":"Vazquez-Leal H, Filobello-Ni\u00f1o U, Casta\u00f1eda-Sheissa R, HernandezMartinez L, Sarmiento-Reyes A (2012) Modified HPMs inspired by homotopy continuation methods. Math Problems Eng Article ID 309123:20. doi: 10.155\/2012\/309123","DOI":"10.155\/2012\/309123"},{"key":"2080_CR33","doi-asserted-by":"publisher","unstructured":"Vazquez-Leal H, Casta\u00f1eda-Sheissa R, Filobello-Ni\u00f1o U, Sarmiento-Reyes A, S\u00e1nchez-Orea J (2012) High accurate simple approximation of normal distribution related integrals. Math Problem Eng 2012:Article ID 124029, 22\u00a0pp. doi: 10.1155\/2012\/124029","DOI":"10.1155\/2012\/124029"},{"key":"2080_CR34","doi-asserted-by":"publisher","unstructured":"Filobello-Ni\u00f1o U, Vazquez-Leal H, Casta\u00f1eda-Sheissa R, Yildirim A, Hernandez ML, Pereyra D\u00edaz D, P\u00e9rez Sesma A, Hoyos Reyes C (2012) An approximate solution of Blasius equation by using HPM method. Asian J Math Stat 10. doi: 10.3923\/ajms.2012","DOI":"10.3923\/ajms.2012"},{"key":"2080_CR35","doi-asserted-by":"crossref","unstructured":"Biazar J, Ghazvini H (2009) Convergence of the homotopy perturbation method for partial differential equations. Nonlinear Anal Real World Appl 10(5):2633\u20132640","DOI":"10.1016\/j.nonrwa.2008.07.002"},{"key":"2080_CR36","doi-asserted-by":"crossref","unstructured":"Sheikholeslami M, Ganji DD, Rokni HB (2013) Nanofluid flow in a semi-porous channel in the presence of uniform magnetic field. IJE Trans C Aspects 26(6):653\u2013662","DOI":"10.5829\/idosi.ije.2013.26.06c.10"},{"key":"2080_CR37","doi-asserted-by":"publisher","unstructured":"Sheikholeslami M, Ashorynejad HR, Ganji, DD, Kolahdooz A (2011) Investigation of rotating MHD viscous flow and heat transfer between stretching and porous surfaces using analytical method. Hindawi Publishing Corporation Mathematical Problems in Engineering, vol 2011. Article ID 258734, 17. doi: 10.1155\/2011\/258734","DOI":"10.1155\/2011\/258734"},{"key":"2080_CR38","doi-asserted-by":"crossref","unstructured":"Sheikholeslami M, Ganji DD (2013) Heat transfer of Cu-water nanofluid flow between parallel plates. Powder Technol 235:873\u2013879","DOI":"10.1016\/j.powtec.2012.11.030"},{"issue":"3","key":"2080_CR39","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1016\/j.scient.2012.03.006","volume":"19","author":"M Sheikholeslami","year":"2012","unstructured":"Sheikholeslami M, Ashorynejad HR, Ganji D, Y\u0131ld\u0131r\u0131m A (2012) Homotopy perturbation method for three-dimensional problem of condensation film on inclined rotating disk. Scientia Iranica 19(3):437\u2013442","journal-title":"Scientia Iranica"},{"key":"2080_CR40","unstructured":"Filobello-Nino U, Vazquez-Leal H, Benhammouda B, Shukla AK, Cervantes-Perez J, Perez-Sesma A et al. The study of heat transfer phenomena by using of Laplace transform\u2013homotopy perturbation method. Appl Math Inf Sci (Article currently under review)"},{"key":"2080_CR41","unstructured":"Filobello-Nino U, Vazquez-Leal H, Benhammouda B, Perez-Sesma A, Jimenez-Fernandez VM, Cervantes-Perez J et al. An easy computable approximate solution for Troesch\u2019s problem by using of Laplace transform\u2013homotopy perturbation method. Appl Math Inf Sci (Article currently under review)"},{"key":"2080_CR42","doi-asserted-by":"crossref","unstructured":"Rashidi MM, Rastegari MT, Asadi M, Bg OA (2012) A study of non-newtonian flow and heat transfer over a non-isothermal wedge using the homotopy analysis method. Chem Eng Commun 199:231\u2013256","DOI":"10.1080\/00986445.2011.586756"},{"key":"2080_CR43","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.compfluid.2011.08.001","volume":"54","author":"M Rashidi","year":"2012","unstructured":"Rashidi M, Pour SM, Hayat T, Obaidat S (2012) Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method. Comput Fluids 54:1\u20139","journal-title":"Comput Fluids"},{"issue":"2","key":"2080_CR44","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1002\/num.20358","volume":"25","author":"MM Rashidi","year":"2009","unstructured":"Rashidi MM, Domairry G, Dinarvand S (2009) The homotopy analysis method for explicit analytical solutions of Jaulent\u2013Miodek equations. Numer Methods Partial Differ Equ 25(2):430\u2013439. doi: 10.1002\/num.20358","journal-title":"Numer Methods Partial Differ Equ"},{"key":"2080_CR45","doi-asserted-by":"publisher","unstructured":"Anwar B\u00e9g O, Rashidi MM, B\u00e9g TA, Asadi M (2012) Homotopy analysis of transient magneto-bio-fluid dynamics of micropolar squeeze film in porous medium: a model for magneto-bio-rheological lubrication. J Mech Med Biol 12(1):1\u201321. doi: 10.1142\/S0219519412004648","DOI":"10.1142\/S0219519412004648"},{"key":"2080_CR46","doi-asserted-by":"publisher","unstructured":"Sheikholeslami M, Ashorynejad HR, Domairry HR, Hashim I (2012) Flow and heat transfer of Cu\u2013Water Nanofluid between a stretching sheet and a porous surface in a rotating system. Hindawi Publishing Corporation. J Appl Math Article ID 421320:18. doi: 10.1155\/2012\/421320","DOI":"10.1155\/2012\/421320"},{"key":"2080_CR47","doi-asserted-by":"crossref","unstructured":"Sheikholeslami M, Ellahi R, Ashorynejad HR, Domairry G, Hayat T (2014) Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium. J Comput Theor Nanosci 11(2):486\u2013496","DOI":"10.1166\/jctn.2014.3384"},{"key":"2080_CR48","volume-title":"Ordinary differential equations","author":"E Ince","year":"1956","unstructured":"Ince E (1956) Ordinary differential equations. Dover, New York"},{"key":"2080_CR49","volume-title":"Theory of differential equations","author":"A Forsyth","year":"1906","unstructured":"Forsyth A (1906) Theory of differential equations. Cambridge University Press, New York"},{"key":"2080_CR50","doi-asserted-by":"publisher","unstructured":"Filobello-Nino U, Vazquez-Leal H, Benhammouda H, Perez-Sesma A, Jimenez-Fernandez VM et al (2015) Analytical solutions for systems of singular partial differential-algebraic equations. Hindawi Publishing Corporation Discrete Dynamics in Nature and Society, vol 2015, Article ID 752523, 9\u00a0pp. doi: 10.1155\/2015\/752523","DOI":"10.1155\/2015\/752523"},{"key":"2080_CR51","doi-asserted-by":"publisher","unstructured":"Sheikholeslami M, BaniSheykholeslami F, Khoshhal S, Mola-Abasia H, Ganji DD, Rokni HB (2014) Effect of magnetic field on Cu\u2013water nanofluid heat transfer using GMDH-type neural network. Neural Comput Appl 25:171\u2013178. doi 10.1007\/s00521-013-1459-y","DOI":"10.1007\/s00521-013-1459-y"},{"key":"2080_CR52","unstructured":"Rashidi MM, Gangi D (2009) New analytical solution of the three dimensional Navier\u2013Stokes equations. Modern Phys Lett B World Sci 23(26). ISSN:1793-6640"},{"key":"2080_CR53","unstructured":"Rashidi MM, Erfani E The modified differential transform method for investigating nano boundary-layers over stretching surfaces. Int J Numer Methods Heat Fluid Flow 21(7). ISSN:0961-5539"},{"issue":"6","key":"2080_CR54","doi-asserted-by":"publisher","first-page":"143","DOI":"10.11648\/j.acm.20130206.16","volume":"2","author":"U Filobello-Nino","year":"2013","unstructured":"Filobello-Nino U, Vazquez-Leal H, Sarmiento-Reyes A, Perez-Sesma A, Hernandez-Martinez L, Herrera-May A, Jimenez-Fernandez VM, Marin-Hernandez A, Pereyra-Diaz D, Diaz-Sanchez A (2013) The study of heat transfer phenomena using PM for approximate solution with Dirichlet and mixed boundary conditions. Appl Comput Math 2(6):143\u2013148. doi: 10.11648\/j.acm.20130206.16","journal-title":"Appl Comput Math"},{"key":"2080_CR55","doi-asserted-by":"crossref","unstructured":"Filobello-Nino U, Vazquez-Leal H, Khan Y, Yildirim A, Jimenez-Fernandez VM, Herrera-May AL, Castaneda-Sheissa R, Cervantes-Perez J (2013) Perturbation method and Laplace\u2013Pad\u00e9 approximation to solve nonlinear problems. Miskolc Math Notes 14(1):89\u2013101","DOI":"10.18514\/MMN.2013.517"},{"key":"2080_CR56","volume-title":"Ecuaciones Diferenciales: Con Aplicaciones Y Notas Hist\u00f3ricas, 2da Edici\u00f3n","author":"GF Simmons","year":"1993","unstructured":"Simmons GF (1993) Ecuaciones Diferenciales: Con Aplicaciones Y Notas Hist\u00f3ricas, 2da Edici\u00f3n. McGraw-Hill, Espa\u00f1a"},{"key":"2080_CR57","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0022-5193(78)90270-9","volume":"71","author":"DLS McElwain","year":"1978","unstructured":"McElwain DLS (1978) A re-examination of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. J Theor Biol 71:255\u2013263","journal-title":"J Theor Biol"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-015-2080-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-015-2080-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-015-2080-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-015-2080-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T13:59:48Z","timestamp":1599832788000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-015-2080-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,18]]},"references-count":57,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,3]]}},"alternative-id":["2080"],"URL":"https:\/\/doi.org\/10.1007\/s00521-015-2080-z","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,18]]}}}