NUMERICAL INVERSE LAPLACE HOMOTOPY TECHNIQUE FOR FRACTIONAL HEAT EQUATIONS

被引：62

作者：

Yavuz, Mehmet ^{[1
]}

Ozdemir, Necati ^{[2
]}

机构：

[1] Necmettin Erbakan Univ, Dept Math Comp Sci, Fac Sci, Konya, Turkey

[2] Balikesir Univ, Fac Sci & Arts, Dept Math, Balikesir, Turkey

来源：

THERMAL SCIENCE | 2018年 / 22卷

关键词：

fractional heat equation; Laplace transform; Caputo derivative; homotopy perturbation method; LONG-WAVE EQUATION; PERTURBATION METHOD; BROWNIAN-MOTION; CONDUCTION; TRANSFORM;

D O I：

10.2298/TSCI170804285Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving some interesting 1-D time fractional heat equations. This method is based on the Laplace homotopy perturbation method, which is combined form of the Laplace transform and the homotopy perturbation method. Firstly, we have applied to the fractional 1-D PDE by using He's polynomials. Then we have used Laplace transform method and discussed how to solve these PDE by using Laplace homotopy perturbation method. We have declared that the proposed model is very efficient and powerful technique in finding approximate solutions to the fractional PDE.

引用

页码：S185 / S194

页数：10

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