Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He's variational iteration technique

被引：55

作者：

Dehghan, Mehdi ^{[1
]}

Shakeri, Fatemeh ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Appl Math, Fac Math & Comp Sci, Tehran 15914, Iran

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING | 2010年 / 26卷 / 06期

关键词：

parabolic integro-differential equation; variational iteration method; PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; FRACTIONAL DERIVATIVES; INITIAL CONDITIONS; EVOLVING SCALES; WAVE; HETEROGENEITY; TRANSPORT; BURGERS; KDV;

D O I：

10.1002/cnm.1166

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this work, we present the solution of some parabolic integro-differential equations, which naturally arise in many applications. He's variational iteration method is implemented to give the solution for this equation. This technique is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. Application of variational iteration technique to this problem shows that it performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：705 / 715

页数：11

共 41 条

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