Homotopy analysis method for solving fractional hyperbolic partial differential equations

被引：31

作者：

Das, S. ^{[1
]}

Gupta, P. K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 03期

关键词：

homotopy analysis method; fractional Brownian motion; hyperbolic partial differential equation; initial value problem; PERTURBATION TECHNIQUE; NONLINEAR PROBLEMS; FLUID;

D O I：

10.1080/00207161003631901

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the solutions of the hyperbolic partial differential equation with fractional time derivative of order alpha(1 < alpha <= 2) are obtained with the help of approximate analytical method of nonlinear problems called the homotopy analysis method. By using initial values, the explicit solutions of the equations for different particular cases have been derived which demonstrate the effectiveness, validity, potentiality and reliability of the method in reality. Numerical results for different particular cases are presented graphically. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions.

引用

页码：578 / 588

页数：11

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