Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution

F. Mohammadi; M.M. Hosseinf; Syed Tauseef Mohyud-Din

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Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution

机译：勒让德小波伽勒金方法求解非解析解常微分方程

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In this article, the Legendre wavelet operational matrix of integration is used to solve boundary ordinary differential equations with non-analytic solution. Although the standard Galerkin method using Legendre polynomials does not work well for solving ordinary differential equations in which at least one of the coefficient functions or solution function is not analytic, it is shown that the Legendre wavelet Galerkin method is very efficient and suitable for solving this kind of problems. Several numerical examples are given to illustrate the efficiency and performance of the presented method.

机译：在本文中，勒让德勒小波积分积分矩阵用于用非解析解求解边界常微分方程。尽管使用勒让德多项式的标准Galerkin方法不适用于求解其中至少不分析系数函数或解函数的常微分方程，但事实证明，勒让德小波Galerkin方法非常有效，适合解决此问题。有点问题。给出了几个数值示例来说明所提出方法的效率和性能。

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来源
《International journal of systems science》 |2011年第6期|p.579-585|共7页
作者
F. Mohammadi; M.M. Hosseinf; Syed Tauseef Mohyud-Din;
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作者单位

Faculty of Mathematics, Department of Applied Mathematics, Yazd University, P.O. Box 89195-74, Yazd, Iran;

Faculty of Mathematics, Department of Applied Mathematics, Yazd University, P.O. Box 89195-74, Yazd, Iran;

Department of Mathematics!Basic Sciences, HITEC University, Taxila Cantt, Pakistan;

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原文格式 PDF
正文语种 eng
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关键词
legendre orthogonal polynomials; galerkin method; legendre wavelet method; ordinary differential equations; non-analytic functions;

机译：勒让德正交多项式;加勒金法勒让德小波方法;常微分方程非解析函数;

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Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution

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