APPROXIMATE SOLUTIONS OF FRACTIONAL NON-LINEAR EVOLUTION EQUATIONS

被引：1

作者：

Gu, Xiu-Fen ^{[1
]}

Wang, Qiu-Ya ^{[1
]}

Zhang, Meng ^{[1
]}

Liu, Yan-Qin ^{[1
]}

机构：

[1] Dezhou Univ, Sch Math Sci, Dezhou, Peoples R China

来源：

THERMAL SCIENCE | 2014年 / 18卷 / 05期

关键词：

variational iteration method; Laplace transform; homotopy perturbation method; fractional equation; non-linear equation; Caputo derivative;

D O I：

10.2298/TSCI1405553G

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A novel method which is based on variational iteration method, Laplace transform, and homotopy perturbation method is proposed, and this new method is applied to obtain the approximate solution of the fractional non-linear Boussinessq-type equation. The fractional Lagrange multiplier is accurately determined by the Laplace transform and the non-linear term can be easily handled by He polynomials. The result demonstrates accuracy and fast convergence of this new algorithm.

引用

页码：1553 / 1556

页数：4

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