Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method

This article aims to present a simple and effective method, named as advanced Adomian decomposition method, to attain the approximate solution of singular initial value problems of Lane–Emden type. Also, convergence analysis and error analysis with an upper bound of the absolute error for the propos...

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Bibliographic Details
Published in:	Journal of applied mathematics & computing Vol. 66; no. 1-2; pp. 527 - 542
Main Authors:	Umesh, Kumar, Manoj
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021 Springer Nature B.V
Subjects:	Applied mathematics Approximation Boundary value problems Computational Mathematics and Numerical Analysis Decomposition Error analysis Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Numerical methods Original Research Theory of Computation Upper bounds Lane–Emden equation Adomian polynomials Advanced Adomian decomposition method Convergence theorem Error bound Singular initial-value problems Residual error 65N20
ISSN:	1598-5865, 1865-2085
Online Access:	Get full text
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