{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,25]],"date-time":"2025-11-25T05:00:18Z","timestamp":1764046818706},"reference-count":56,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,2,11]],"date-time":"2020-02-11T00:00:00Z","timestamp":1581379200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,2,11]],"date-time":"2020-02-11T00:00:00Z","timestamp":1581379200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s40314-020-1070-7","type":"journal-article","created":{"date-parts":[[2020,2,11]],"date-time":"2020-02-11T15:02:46Z","timestamp":1581433366000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order"],"prefix":"10.1007","volume":"39","author":[{"given":"M. A.","family":"Abdelkawy","sequence":"first","affiliation":[]},{"given":"Mohammed M.","family":"Babatin","sequence":"additional","affiliation":[]},{"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,2,11]]},"reference":[{"issue":"7\u20138","key":"1070_CR1","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1515\/ijnsns-2018-0111","volume":"19","author":"M Abdelkawy","year":"2018","unstructured":"Abdelkawy M (2018) A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations. Int J Nonlinear Sci Numer Simul 19(7\u20138):781\u2013792","journal-title":"Int J Nonlinear Sci Numer Simul"},{"issue":"2","key":"1070_CR2","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s40314-019-0845-1","volume":"38","author":"M Abdelkawy","year":"2019","unstructured":"Abdelkawy M, Lopes AM, Zaky M (2019) Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. Comput Appl Math 38(2):81","journal-title":"Comput Appl Math"},{"issue":"1","key":"1070_CR3","first-page":"1","volume":"3","author":"OP Agrawal","year":"2000","unstructured":"Agrawal OP (2000) A general solution for the fourth-order fractional diffusion-wave equation. Fract Calc Appl Anal 3(1):1\u201312","journal-title":"Fract Calc Appl Anal"},{"issue":"16","key":"1070_CR4","doi-asserted-by":"crossref","first-page":"1497","DOI":"10.1016\/S0045-7949(01)00026-8","volume":"79","author":"OP Agrawal","year":"2001","unstructured":"Agrawal OP (2001) A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain. Comput Struct 79(16):1497\u20131501","journal-title":"Comput Struct"},{"key":"1070_CR5","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1016\/j.camwa.2019.05.031","volume":"78","author":"MRS Ammi","year":"2019","unstructured":"Ammi MRS, Jamiai I, Torres DF (2019) A finite element approximation for a class of Caputo time-fractional diffusion equations. Comput Math Appl 78:1334\u20131344","journal-title":"Comput Math Appl"},{"key":"1070_CR6","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1016\/j.jcp.2015.03.063","volume":"294","author":"A Bhrawy","year":"2015","unstructured":"Bhrawy A, Abdelkawy M (2015) A fully spectral collocation approximation for multi-dimensional fractional Schr\u00f6dinger equations. J Comput Phys 294:462\u2013483","journal-title":"J Comput Phys"},{"key":"1070_CR7","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1016\/j.jcp.2014.10.060","volume":"281","author":"A Bhrawy","year":"2015","unstructured":"Bhrawy A, Zaky MA (2015) A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. J Comput Phys 281:876\u2013895","journal-title":"J Comput Phys"},{"key":"1070_CR8","first-page":"490","volume":"16","author":"A Bhrawy","year":"2015","unstructured":"Bhrawy A, Abdelkawy M, Alzahrani A, Baleanu D, Alzahrani E (2015a) A Chebyshev\u2013Laguerre\u2013Gauss\u2013Radau collocation scheme for solving a time fractional sub-diffusion equation on a semi-infinite domain. Proc Rom Acad Ser A 16:490\u2013498","journal-title":"Proc Rom Acad Ser A"},{"key":"1070_CR9","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/j.jcp.2014.03.039","volume":"293","author":"A Bhrawy","year":"2015","unstructured":"Bhrawy A, Doha EH, Baleanu D, Ezz-Eldien SS (2015b) A spectral tau algorithm based on jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. J Comput Phys 293:142\u2013156","journal-title":"J Comput Phys"},{"issue":"3\u20134","key":"1070_CR10","first-page":"344","volume":"60","author":"A Bhrawy","year":"2015","unstructured":"Bhrawy A, Zaky M, Baleanu D, Abdelkawy M (2015c) A novel spectral approximation for the two-dimensional fractional sub-diffusion problems. Rom J Phys 60(3\u20134):344\u2013359","journal-title":"Rom J Phys"},{"issue":"3","key":"1070_CR11","doi-asserted-by":"crossref","first-page":"1023","DOI":"10.1007\/s11071-015-2087-0","volume":"81","author":"AH Bhrawy","year":"2015","unstructured":"Bhrawy AH, Taha TM, Machado JAT (2015d) A review of operational matrices and spectral techniques for fractional calculus. Nonlinear Dyn 81(3):1023\u20131052","journal-title":"Nonlinear Dyn"},{"issue":"5","key":"1070_CR12","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1016\/j.camwa.2018.11.033","volume":"78","author":"W Bu","year":"2019","unstructured":"Bu W, Shu S, Yue X, Xiao A, Zeng W (2019) Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain. Comput Math Appl 78(5):1367\u20131379","journal-title":"Comput Math Appl"},{"issue":"4","key":"1070_CR13","doi-asserted-by":"crossref","first-page":"046129","DOI":"10.1103\/PhysRevE.66.046129","volume":"66","author":"A Chechkin","year":"2002","unstructured":"Chechkin A, Gorenflo R, Sokolov I (2002) Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations. Physical Review E 66(4):046129","journal-title":"Physical Review E"},{"issue":"3","key":"1070_CR14","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1016\/j.camwa.2011.03.065","volume":"62","author":"CM Chen","year":"2011","unstructured":"Chen CM, Liu F, Turner I, Anh V (2011) Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes\u2019 first problem for a heated generalized second grade fluid. Comput Math Appl 62(3):971\u2013986","journal-title":"Comput Math Appl"},{"issue":"5","key":"1070_CR15","doi-asserted-by":"crossref","first-page":"2364","DOI":"10.1016\/j.camwa.2011.07.024","volume":"62","author":"EH Doha","year":"2011","unstructured":"Doha EH, Bhrawy A, Ezz-Eldien SS (2011a) A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. Comput Math Appl 62(5):2364\u20132373","journal-title":"Comput Math Appl"},{"issue":"9\u201310","key":"1070_CR16","doi-asserted-by":"crossref","first-page":"1820","DOI":"10.1016\/j.mcm.2011.01.002","volume":"53","author":"EH Doha","year":"2011","unstructured":"Doha EH, Bhrawy A, Hafez R (2011b) A Jacobi\u2013Jacobi dual-Petrov\u2013Galerkin method for third-and fifth-order differential equations. Math Comput Model 53(9\u201310):1820\u20131832","journal-title":"Math Comput Model"},{"key":"1070_CR17","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.apnum.2013.11.003","volume":"77","author":"E Doha","year":"2014","unstructured":"Doha E, Bhrawy A, Baleanu D, Hafez R (2014) A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Appl Numer Math 77:43\u201354","journal-title":"Appl Numer Math"},{"key":"1070_CR18","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.cnsns.2019.01.005","volume":"72","author":"E Doha","year":"2019","unstructured":"Doha E, Abdelkawy M, Amin A, Lopes AM (2019a) Shifted Jacobi\u2013Gauss-collocation with convergence analysis for fractional integro-differential equations. Commun Nonlinear Sci Numer Simul 72:342\u2013359","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"3","key":"1070_CR19","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1016\/j.camwa.2019.03.011","volume":"78","author":"E Doha","year":"2019","unstructured":"Doha E, Hafez R, Youssri Y (2019b) Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations. Comput Math Appl 78(3):889\u2013904","journal-title":"Comput Math Appl"},{"issue":"3","key":"1070_CR20","doi-asserted-by":"crossref","first-page":"332","DOI":"10.15388\/NA.2019.3.2","volume":"24","author":"EH Doha","year":"2019","unstructured":"Doha EH, Abdelkawy MA, Amin AZ, Baleanu D (2019c) Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations. Nonlinear Anal Model Control 24(3):332\u2013352","journal-title":"Nonlinear Anal Model Control"},{"key":"1070_CR21","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/s10614-019-09880-4","volume":"55","author":"A Golbabai","year":"2019","unstructured":"Golbabai A, Nikan O (2019) A computational method based on the moving least-squares approach for pricing double barrier options in a time-fractional Black-Scholes model. Comput Econ 55:119\u2013141","journal-title":"Comput Econ"},{"issue":"8","key":"1070_CR22","doi-asserted-by":"crossref","first-page":"2227","DOI":"10.1016\/j.camwa.2010.09.022","volume":"61","author":"A Golbabai","year":"2011","unstructured":"Golbabai A, Sayevand K (2011) Fractional calculus\u2014a new approach to the analysis of generalized fourth-order diffusion-wave equations. Comput Math Appl 61(8):2227\u20132231","journal-title":"Comput Math Appl"},{"issue":"3","key":"1070_CR23","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s40314-019-0957-7","volume":"38","author":"A Golbabai","year":"2019","unstructured":"Golbabai A, Nikan O, Nikazad T (2019a) Numerical analysis of time fractional Black\u2013Scholes European option pricing model arising in financial market. Comput Appl Math 38(3):173","journal-title":"Comput Appl Math"},{"key":"1070_CR24","first-page":"1","volume":"50","author":"A Golbabai","year":"2019","unstructured":"Golbabai A, Nikan O, Nikazad T (2019b) Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media. Int J Appl Comput Math 50:1\u201322","journal-title":"Int J Appl Comput Math"},{"key":"1070_CR25","first-page":"96","volume":"28","author":"J Guo","year":"2014","unstructured":"Guo J, Li C, Ding H (2014) Finite difference methods for time subdiffusion equation with space fourth order. Commun Appl Math Comput 28:96\u2013108","journal-title":"Commun Appl Math Comput"},{"issue":"1","key":"1070_CR26","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.compfluid.2010.08.010","volume":"46","author":"E Hanert","year":"2011","unstructured":"Hanert E (2011) On the numerical solution of space-time fractional diffusion models. Comput Fluids 46(1):33\u201339","journal-title":"Comput Fluids"},{"issue":"9","key":"1070_CR27","doi-asserted-by":"crossref","first-page":"5019","DOI":"10.1016\/j.amc.2011.10.069","volume":"218","author":"X Hu","year":"2012","unstructured":"Hu X, Zhang L (2012) On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Appl Math Comput 218(9):5019\u20135034","journal-title":"Appl Math Comput"},{"issue":"4","key":"1070_CR28","doi-asserted-by":"crossref","first-page":"1115","DOI":"10.1002\/num.20308","volume":"24","author":"H Jafari","year":"2008","unstructured":"Jafari H, Dehghan M, Sayevand K (2008) Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method. Numer Methods Partial Differ Equ 24(4):1115\u20131126","journal-title":"Numer Methods Partial Differ Equ"},{"issue":"3","key":"1070_CR29","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1007\/s10915-015-0059-7","volume":"66","author":"CC Ji","year":"2016","unstructured":"Ji CC, Sun ZZ, Hao ZP (2016) Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions. J Sci Comput 66(3):1148\u20131174","journal-title":"J Sci Comput"},{"issue":"5","key":"1070_CR30","doi-asserted-by":"crossref","first-page":"1016","DOI":"10.4208\/cicp.020709.221209a","volume":"8","author":"X Li","year":"2010","unstructured":"Li X, Xu C (2010) Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Commun Comput Phys 8(5):1016","journal-title":"Commun Comput Phys"},{"issue":"2","key":"1070_CR31","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1080\/01630563.2012.706673","volume":"34","author":"C Li","year":"2013","unstructured":"Li C, Zeng F (2013) The finite difference methods for fractional ordinary differential equations. Numer Funct Anal Optim 34(2):149\u2013179","journal-title":"Numer Funct Anal Optim"},{"key":"1070_CR32","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1016\/j.amc.2014.06.023","volume":"243","author":"Y Liu","year":"2014","unstructured":"Liu Y, Fang Z, Li H, He S (2014) A mixed finite element method for a time-fractional fourth-order partial differential equation. Appl Math Comput 243:703\u2013717","journal-title":"Appl Math Comput"},{"issue":"4","key":"1070_CR33","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1016\/j.camwa.2015.05.015","volume":"70","author":"Y Liu","year":"2015","unstructured":"Liu Y, Du Y, Li H, He S, Gao W (2015) Finite difference\/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem. Comput Math Appl 70(4):573\u2013591","journal-title":"Comput Math Appl"},{"key":"1070_CR34","first-page":"809","volume":"18","author":"S Narumi","year":"1920","unstructured":"Narumi S (1920) Some formulas in the theory of interpolation of many independent variables. Tohoku Math J 18:809\u2013821","journal-title":"Tohoku Math J"},{"key":"1070_CR35","doi-asserted-by":"crossref","first-page":"2757","DOI":"10.1007\/s11071-019-05160-w","volume":"97","author":"O Nikan","year":"2019","unstructured":"Nikan O, Tenreiro Machado J, Golbabai A, Nikazad AT (2019) Numerical investigation of the nonlinear modified anomalous diffusion process. Nonlinear Dyn 97:2757\u20132775","journal-title":"Nonlinear Dyn"},{"key":"1070_CR36","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1016\/j.amc.2006.07.102","volume":"186","author":"ZM Odibat","year":"2007","unstructured":"Odibat ZM, Shawagfeh NT (2007) Generalized Taylor\u2019s formula. Appl Math Comput 186:286\u2013293","journal-title":"Appl Math Comput"},{"key":"1070_CR37","volume-title":"The fractional calculus","author":"K Oldhan","year":"1974","unstructured":"Oldhan K, Spainer J (1974) The fractional calculus. Academic, New York"},{"key":"1070_CR38","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.icheatmasstransfer.2017.09.016","volume":"89","author":"JC Padrino","year":"2017","unstructured":"Padrino JC (2017) On the self-similar, early-time, anomalous diffusion in random networks\u2014approach by fractional calculus. Int Commun Heat Mass Transf 89:134\u2013138","journal-title":"Int Commun Heat Mass Transf"},{"key":"1070_CR39","volume-title":"Fractional differential equations","author":"I Podlubny","year":"1999","unstructured":"Podlubny I (1999) Fractional differential equations. Academic, New York"},{"key":"1070_CR40","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/j.icheatmasstransfer.2017.08.016","volume":"89","author":"Y Qiao","year":"2017","unstructured":"Qiao Y, Zhai S, Feng X (2017) RBF-FD method for the high dimensional time fractional convection-diffusion equation. Int Commun Heat Mass Transf 89:230\u2013240","journal-title":"Int Commun Heat Mass Transf"},{"key":"1070_CR41","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2019.1677896:1-19","author":"W Qiu","year":"2019","unstructured":"Qiu W, Xu D, Chen H (2019) A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels. Int J Comput Math. https:\/\/doi.org\/10.1080\/00207160.2019.1677896:1-19","journal-title":"Int J Comput Math"},{"key":"1070_CR42","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.apnum.2018.03.005","volume":"129","author":"M Ran","year":"2018","unstructured":"Ran M, Zhang C (2018) New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order. Appl Numer Math 129:58\u201370","journal-title":"Appl Numer Math"},{"issue":"7","key":"1070_CR43","doi-asserted-by":"crossref","first-page":"1496","DOI":"10.1080\/00207160.2014.948430","volume":"92","author":"SS Siddiqi","year":"2015","unstructured":"Siddiqi SS, Arshed S (2015) Numerical solution of time-fractional fourth-order partial differential equations. Int J Comput Math 92(7):1496\u20131518","journal-title":"Int J Comput Math"},{"key":"1070_CR44","volume-title":"Fourier transforms","author":"I Sneddon","year":"1951","unstructured":"Sneddon I (1951) Fourier transforms. McGraw-Hill, New York"},{"key":"1070_CR45","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.cam.2017.01.013","volume":"320","author":"Y Takeuchi","year":"2017","unstructured":"Takeuchi Y, Yoshimoto Y, Suda R (2017) Second order accuracy finite difference methods for space-fractional partial differential equations. J Comput Appl Math 320:101\u2013119","journal-title":"J Comput Appl Math"},{"issue":"4","key":"1070_CR46","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1007\/s11071-012-0710-x","volume":"71","author":"\u017d Tomovski","year":"2013","unstructured":"Tomovski \u017d, Sandev T (2013) Exact solutions for fractional diffusion equation in a bounded domain with different boundary conditions. Nonlinear Dyn 71(4):671\u2013683","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"1070_CR47","first-page":"699","volume":"40","author":"Y Xu","year":"2014","unstructured":"Xu Y, Ert\u00fcrk V (2014) A finite difference technique for solving variable-order fractional integro-differential equation. Bull Iran Math Soc 40(3):699\u2013712","journal-title":"Bull Iran Math Soc"},{"key":"1070_CR48","doi-asserted-by":"publisher","DOI":"10.1002\/num.22436:1-20","author":"D Xu","year":"2019","unstructured":"Xu D, Qiu W, Guo J (2019) A compact finite difference scheme for the fourth-order time-fractional integro-differential equation with a weakly singular kernel. Numer Methods Partial Differ Equ. https:\/\/doi.org\/10.1002\/num.22436:1-20","journal-title":"Numer Methods Partial Differ Equ"},{"key":"1070_CR49","doi-asserted-by":"crossref","DOI":"10.1201\/9780429284083","volume-title":"General fractional derivatives: theory, methods and applications","author":"XJ Yang","year":"2019","unstructured":"Yang XJ (2019) General fractional derivatives: theory, methods and applications. Chapman and Hall\/CRC, Boca Raton"},{"issue":"18","key":"1070_CR50","doi-asserted-by":"crossref","first-page":"9312","DOI":"10.1002\/mma.5341","volume":"41","author":"XJ Yang","year":"2018","unstructured":"Yang XJ, Gao F, Ju Y, Zhou HW (2018a) Fundamental solutions of the general fractional-order diffusion equations. Math Methods Appl Sci 41(18):9312\u20139320","journal-title":"Math Methods Appl Sci"},{"key":"1070_CR51","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/j.cam.2017.10.007","volume":"339","author":"XJ Yang","year":"2018","unstructured":"Yang XJ, Gao F, Srivastava H (2018b) A new computational approach for solving nonlinear local fractional PDEs. J Comput Appl Math 339:285\u2013296","journal-title":"J Comput Appl Math"},{"issue":"4","key":"1070_CR52","first-page":"315","volume":"18","author":"MA Zaky","year":"2017","unstructured":"Zaky MA, Ameen IG, Abdelkawy MA (2017) A new operational matrix based on Jacobi wavelets for a class of variable-order fractional differential equations. Proc Rom Acad Ser A 18(4):315\u2013322","journal-title":"Proc Rom Acad Ser A"},{"key":"1070_CR53","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.apnum.2018.05.009","volume":"132","author":"M Zaky","year":"2018","unstructured":"Zaky M, Doha E, Machado JT (2018) A spectral framework for fractional variational problems based on fractional Jacobi functions. Appl Numer Math 132:51\u201372","journal-title":"Appl Numer Math"},{"key":"1070_CR54","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1016\/j.amc.2014.06.003","volume":"242","author":"H Zhang","year":"2014","unstructured":"Zhang H, Liu F, Zhuang P, Turner I, Anh V (2014) Numerical analysis of a new space-time variable fractional order advection-dispersion equation. Appl Math Comput 242:541\u2013550","journal-title":"Appl Math Comput"},{"key":"1070_CR55","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/j.camwa.2019.06.027","volume":"79","author":"J Zhou","year":"2019","unstructured":"Zhou J, Xu D (2019) Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel. Comput Math Appl 79:244\u2013255","journal-title":"Comput Math Appl"},{"issue":"1","key":"1070_CR56","doi-asserted-by":"crossref","first-page":"181","DOI":"10.4208\/eajam.260617.151117a","volume":"8","author":"J Zhou","year":"2018","unstructured":"Zhou J, Xu D, Chen H (2018) A weak Galerkin finite element method for multiterm time-fractional diffusion equations. East Asian J Appl Math 8(1):181\u2013193","journal-title":"East Asian J Appl Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-1070-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40314-020-1070-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-1070-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,10]],"date-time":"2021-02-10T06:47:59Z","timestamp":1612939679000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40314-020-1070-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,11]]},"references-count":56,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["1070"],"URL":"https:\/\/doi.org\/10.1007\/s40314-020-1070-7","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,11]]},"assertion":[{"value":"4 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 January 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 January 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 February 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"65"}}