Decomposition method for Solving Burgers' Equation with Dirichlet and Neumann boundary conditions

被引：17

作者：

Bakodah, H. O. ^{[1
]}

Al-Zaid, N. A. ^{[1
]}

Mirzazadeh, Mohammad ^{[2
]}

Zhou, Qin ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, AL Faisaliah Campus, Jeddah, Saudi Arabia

[2] Univ Guilan, Dept Engn Sci, Fac Engn & Technol, East Guilan, Vajargah 4489163157, Rudsar, Iran

[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China

来源：

OPTIK | 2017年 / 130卷

关键词：

Burgers' equation; Adomian decomposition method; Dirichlet conditions; Neumann conditions; ADOMIAN DECOMPOSITION; TOPOLOGICAL SOLITONS; NUMERICAL-SOLUTION; PADE APPROXIMANTS; WAVES;

D O I：

10.1016/j.ijleo.2016.11.140

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, a numerical method based on Adomian decomposition method is applied for solving Burgers' equation with Dirichlet and Neumann boundary conditions. This mathematical-physical model describes the propagation of waves in nonlinear optical media. Finally, some illustrative examples are presented to show the efficiency of the proposed method and the results obtained by this method are compared by the exact solution. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：1339 / 1346

页数：8

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