On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation

被引：7

作者：

Atangana, Abdon ^{[1
]}

机构：

[1] Univ Orange Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa

来源：

JOURNAL OF VIBRATION AND CONTROL | 2016年 / 22卷 / 07期

关键词：

Fractional generalized nonlinear ZK-BBM equation; non-linear wave; stability analysis; uniqueness analysis; WAVES;

D O I：

10.1177/1077546314544895

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An investigation of a possible description of non-linear wave was performed inside the scope of fractional order derivative. A clear motivation underpinning the extension of this study within the concept of fractional calculus was presented. The special solution of the extended equation was derived using an efficient iteration method called homotopy decomposition method. A theorem underpinning the uniqueness of the special solution was proposed and proved in detail. An investigation for stability of the iteration method for solving the extended equation was presented in detail. Numerical simulations were carried out using the proposed algorithm for different values of alpha and n.

引用

页码：1769 / 1776

页数：8

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