期刊
JOURNAL OF MATHEMATICAL CHEMISTRY
卷 57, 期 2, 页码 570-582出版社
SPRINGER
DOI: 10.1007/s10910-018-0964-8
关键词
System of Lane-Emden boundary value problems; Optimized homotopy analysis method; Iterative scheme; Fast-converging scheme; Modified Adomian decomposition method; 65L10; 65L60; 34B16
资金
- SERB, DST, India [SB/S4/MS/877/2014]
In this paper, we present a fast-converging iterative scheme to approximate the solution of a system of Lane-Emden equations arising in catalytic diffusion reactions. In this method, the original system of differential equations subject to a Neumann boundary condition at X=0 and a Dirichlet boundary condition at X=1, is transformed into an equivalent system of Fredholm integral equations. The resulting system of integral equations is then efficiently treated by the optimized homotopy analysis method. A numerical example is provided to verify the effectiveness and accuracy of the method. Results have been compared with those obtained by other existing iterative schemes to show the advantage of the proposed method. It is shown that the residual error in the present method solution is seven orders of magnitude smaller than in Adomian decomposition method and five orders of magnitude smaller than in the modified Adomian decomposition method. The proposed method is very simple and accurate and it converges quickly to the solution of a given problem.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据