Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

被引：31

作者：

Jassim, Hassan Kamil ^{[1
]}

Unlu, Canan ^{[2
]}

Moshokoa, Seithuti Philemon ^{[3
]}

Khalique, Chaudry Masood ^{[4
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

[3] Tshwane Univ Technol, Fac Sci, Dept Math & Stat, ZA-0001 Pretoria, South Africa

[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

Topology - Iterative methods - Laplace transforms;

D O I：

10.1155/2015/309870

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

引用

页数：9