Haar wavelet Picard method for fractional nonlinear partial differential equations

被引：36

作者：

Saeed, Umer ^{[1
]}

Rehman, Mujeeb Ur ^{[2
]}

机构：

[1] Univ Poonch Rawalakot, Fac Basic & Appl Sci, Dept Math, Rawalakot, Pakistan

[2] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 264卷

关键词：

Fractional differential equations; Haar wavelet; Operational matrices; Picard iteration; HOMOTOPY PERTURBATION METHOD; ORDER;

D O I：

10.1016/j.amc.2015.04.096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a solution method for fractional nonlinear partial differential equation. The proposed technique utilizes the Haar wavelets operational matrices method in conjunction with Picard technique. The operational matrices are derived and utilized for the solution of fractional nonlinear partial differential equations. Convergence analysis for the proposed technique has also been given. Numerical examples are provided to illustrate the efficiency and accuracy of the technique. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：310 / 322

页数：13

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