{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T23:01:03Z","timestamp":1771455663969,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11601525"],"award-info":[{"award-number":["11601525"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1007\/s40314-020-01352-y","type":"journal-article","created":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T07:03:06Z","timestamp":1603090986000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels"],"prefix":"10.1007","volume":"39","author":[{"given":"Zhuyan","family":"Tang","sequence":"first","affiliation":[]},{"given":"Emran","family":"Tohidi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9395-545X","authenticated-orcid":false,"given":"Fuli","family":"He","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,19]]},"reference":[{"key":"1352_CR1","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s40314-019-0903-8","volume":"38","author":"Z Asgari","year":"2019","unstructured":"Asgari Z, Toutounian F, Babolian E, Tohidi E (2019) LSMR iterative method for solving one-and two-dimensional linear Fredholm integral equations. Comput Appl Math 38:135","journal-title":"Comput Appl Math"},{"key":"1352_CR2","doi-asserted-by":"crossref","unstructured":"Chen S, Shen J (2020) Log orthogonal functions: approximation properties and applications. arXiv:2003.01209","DOI":"10.1093\/imanum\/draa087"},{"key":"1352_CR3","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1090\/S0025-5718-09-02269-8","volume":"79","author":"Y Chen","year":"2010","unstructured":"Chen Y, Tang T (2010) Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Math Comput 79:147\u2013167","journal-title":"Math Comput"},{"key":"1352_CR4","doi-asserted-by":"publisher","first-page":"109929","DOI":"10.1016\/j.chaos.2020.109929","volume":"138","author":"W Gao","year":"2020","unstructured":"Gao W, Veeresha P, Baskonus HM, Prakasha DG, Kumar P (2020a) A new study of unreported cases of 2019-nCOV epidemic outbreaks. Chaos Solit Fract 138:109929","journal-title":"Chaos Solit Fract"},{"key":"1352_CR5","doi-asserted-by":"publisher","first-page":"107","DOI":"10.3390\/biology9050107","volume":"9","author":"W Gao","year":"2020","unstructured":"Gao W, Veeresha P, Prakasha DG, Baskonus HM (2020b) Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique. Biology 9:107","journal-title":"Biology"},{"key":"1352_CR6","first-page":"113","volume":"22","author":"BY Guo","year":"2004","unstructured":"Guo BY, Shen J, Xu CL (2004) Generalized Laguerre approximation and its applications to exterior problems. J Comput Math 22:113\u2013130","journal-title":"J Comput Math"},{"key":"1352_CR7","first-page":"382","volume":"181","author":"BY Guo","year":"2005","unstructured":"Guo BY, Zhang XY (2005) A new generalized Laguerre approximation and its applications. J Comput Appl Math 181:382\u2013403","journal-title":"J Comput Appl Math"},{"key":"1352_CR8","volume-title":"Abel integral equations, a historico-bibliographical survey","author":"R Gorenflo","year":"1984","unstructured":"Gorenflo R, Vessella S (1984) Abel integral equations, a historico-bibliographical survey. IAGA, Firenze"},{"key":"1352_CR9","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.cam.2012.10.033","volume":"244","author":"Y Jiang","year":"2013","unstructured":"Jiang Y, Ma J (2013) Spectral collocation methods for Volterra-integro differential equations with noncompact kernels. J Comput Appl Math 244:115\u2013124","journal-title":"J Comput Appl Math"},{"key":"1352_CR10","doi-asserted-by":"publisher","DOI":"10.1142\/5129","volume-title":"Weighted inequalities of Hardy type","author":"A Kufner","year":"2003","unstructured":"Kufner A, Persson LE (2003) Weighted inequalities of Hardy type. World Scientific, New York"},{"key":"1352_CR11","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.amc.2014.10.100","volume":"250","author":"X Ma","year":"2015","unstructured":"Ma X, Huang C, Niu X (2015) Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations. Appl Math Comput 250:131\u2013144","journal-title":"Appl Math Comput"},{"key":"1352_CR12","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.cam.2014.11.001","volume":"279","author":"P Mokhtary","year":"2015","unstructured":"Mokhtary P (2015) Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of fractional integro-differential equations. J Comput Appl Math 279:145\u2013158","journal-title":"J Comput Appl Math"},{"key":"1352_CR13","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1137\/S0036142903422065","volume":"42","author":"J Shen","year":"2004","unstructured":"Shen J, Wang LL (2004) Error analysis for mapped Legendre spectral and pseudospectral methods. SIAM J Numer Anal 42:326\u2013349","journal-title":"SIAM J Numer Anal"},{"key":"1352_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71041-7","volume-title":"Spectral methods: algorithm, analysis and applications, volume 41 of series in computational mathematics","author":"J Shen","year":"2011","unstructured":"Shen J, Tang T, Wang L (2011) Spectral methods: algorithm, analysis and applications, volume 41 of series in computational mathematics. Springer, Berlin"},{"key":"1352_CR15","doi-asserted-by":"publisher","first-page":"648","DOI":"10.4208\/aamm.2015.m1088","volume":"8","author":"X Shi","year":"2016","unstructured":"Shi X, Chen Y (2016) Spectral collocation method for Volterra delay integro-differential equations with weakly singular kernels. Adv Appl Math Mech 8:648\u2013669","journal-title":"Adv Appl Math Mech"},{"key":"1352_CR16","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1093\/imanum\/13.1.93","volume":"13","author":"T Tang","year":"1993","unstructured":"Tang T (1993) A note on collocation methods for Volterra integro-differential equations with weakly singular kernels. IMA J Numer Anal 13:93\u201399","journal-title":"IMA J Numer Anal"},{"key":"1352_CR17","doi-asserted-by":"publisher","first-page":"216","DOI":"10.4208\/nmtma.2011.42s.6","volume":"4","author":"X Tao","year":"2020","unstructured":"Tao X, Xie Z, Zhou X (2020) Spectral Petrov\u2013Galerkin methods for the second kind Volterra type integro-differential equations. Numer Math Theor Meth Appl 4:216\u2013236","journal-title":"Numer Math Theor Meth Appl"},{"key":"1352_CR18","doi-asserted-by":"publisher","first-page":"109661","DOI":"10.1016\/j.chaos.2020.109661","volume":"133","author":"P Veeresha","year":"2020","unstructured":"Veeresha P, Baskonus HM, Prakasha DG, Gao W, Yel G (2020) Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena. Chaos Solit Fract 133:109661","journal-title":"Chaos Solit Fract"},{"key":"1352_CR19","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s10915-004-4613-y","volume":"24","author":"LL Wang","year":"2005","unstructured":"Wang LL, Shen J (2005) Error analysis for mapped Jacobi spectral methods. J Sci Comput 24:183\u2013218","journal-title":"J Sci Comput"},{"key":"1352_CR20","doi-asserted-by":"publisher","first-page":"419","DOI":"10.4208\/nmtma.2011.m1015","volume":"4","author":"Y Wei","year":"2011","unstructured":"Wei Y, Chen Y (2011) Convergence analysis of the Legendre spectral collocations methods for second order Volterra integro-differential equations. Numer Math Theor Methods Appl 4:419\u2013438","journal-title":"Numer Math Theor Methods Appl"},{"key":"1352_CR21","doi-asserted-by":"publisher","first-page":"672","DOI":"10.1007\/s10915-012-9595-6","volume":"53","author":"Y Wei","year":"2012","unstructured":"Wei Y, Chen Y (2012) Legendre spectral collocation methods for pantograph Volterra delay integro-differential equations. J Sci Comput 53:672\u2013688","journal-title":"J Sci Comput"},{"key":"1352_CR22","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1007\/s10092-014-0128-6","volume":"52","author":"Y Yang","year":"2015","unstructured":"Yang Y (2015) Jacobi spectral Galerkin methods for fractional integro-differential equations. Calcolo 52:519\u2013542","journal-title":"Calcolo"},{"key":"1352_CR23","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1016\/S0252-9602(14)60039-4","volume":"34","author":"Y Yang","year":"2014","unstructured":"Yang Y, Chen Y, Huang YQ (2014) Convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations. Acta Math Sci 34:673\u2013690","journal-title":"Acta Math Sci"},{"key":"1352_CR24","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.cam.2019.01.046","volume":"357","author":"MA Zaky","year":"2019","unstructured":"Zaky MA (2019) Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions. J Comput Appl Math 357:103\u2013122","journal-title":"J Comput Appl Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-01352-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-020-01352-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-01352-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T19:47:10Z","timestamp":1698263230000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-020-01352-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,19]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["1352"],"URL":"https:\/\/doi.org\/10.1007\/s40314-020-01352-y","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,19]]},"assertion":[{"value":"25 May 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 July 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 October 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 October 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"298"}}