A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form

A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form
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求解具有积分形式的力函数的两点边值问题的三次样条近似及TAGE迭代法的应用

DOI:
10.1016/j.apm.2010.12.013
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发表时间:
2011
影响因子:
5
通讯作者:
Deepika Dhall
Deepika Dhall
中科院分区:
工程技术2区
文献类型:
--
作者:
R. K. Mohanty;M. K. Jain;Deepika Dhall

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In this article, we report an efficient high order numerical method based on cubic spline approximation and application of alternating group explicit method for the solution of two point non-linear boundary value problems, whose forcing functions are in integral form, on a non-uniform mesh. The proposed method is applicable when the internal grid points of solution interval are odd in number. The proposed cubic spline method is also applicable to integro-differential equations having singularities. Computational results are given to demonstrate the utility of the method.
DOI: 10.1137/1.9780898718003
发表时间: 2003-05
期刊: --
影响因子: --
作者:
Y. Saad
通讯作者: Y. Saad