Abstract
PurposeIn this article, the authors consider the following nonlinear singular boundary value problem (SBVP) known as Lane–Emden equations, −u″(t)-(α/t) u′(t) = g(t, u), 0 < t < 1 where α ≥ 1 subject to two-point and three-point boundary conditions. The authors propose to develop a novel method to solve the class of Lane–Emden equations.Design/methodology/approachThe authors improve the modified variation iteration method (VIM) proposed in [JAAC, 9(4) 1242–1260 (2019)], which greatly accelerates the convergence and reduces the computational task.FindingsThe findings revealed that either exact or highly accurate approximate solutions of Lane–Emden equations can be computed with the proposed method.Originality/valueNovel modification is made in the VIM that provides either exact or highly accurate approximate solutions of Lane-Emden equations, which does not exist in the literature.
Subject
Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software
Reference46 articles.
1. Solving nonlinear partial differential equations using the modified variational iteration pade technique;Journal of Computational and Applied Mathematics,2007
2. Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique;Computers and Mathematics with Applications,2007
3. Inversion of nonlinear stochastic operators;Journal of Mathematical Analysis and Applications,1983
4. A new algorithm for matching boundary conditions in decomposition solutions;Applied Mathematics and Computation,1993
5. Modified decomposition solution of linear and nonlinear boundary-value problems;Nonlinear Anal TMA,1994
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献