Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions

被引：3

作者：

Mohammadi, Amir ^{[1
]}

Aghazadeh, Nasser ^{[1
]}

Rezapour, Shahram ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2020年 / 8卷 / 04期

关键词：

Fractional singular differential equation; Haar wavelets; Second-kind Chebyshev wavelets; Picard iteration; ADOMIAN DECOMPOSITION METHOD; NUMERICAL-SOLUTION; INTEGRATION;

D O I：

10.22034/cmde.2020.31627.1479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present study applies the Picard iterative method to nonlinear singular partial fractional differential equations. The Haar and second-kind Chebyshev wavelets operational matrix of fractional integration will be used to solve problems combining linearization technique with the Picard method. The singular problem will be converted to an algebraic system of equations, which can be easily solved. Numerical examples are provided to illustrate the efficiency and accuracy of the technique.

引用

页码：610 / 638

页数：29

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