A numerical method based on extended Raviart-Thomas (ER-T) mixed finite element method for solving damped Boussinesq equation

被引：6

作者：

Parvizi, Maryam ^{[1
]}

Eslahchi, Mohammad Reza ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Appl Math, POB 14115-134, Tehran, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 16期

关键词：

mixed finite element method; finite difference method; Boussinesq equation; convergence; stability; HOMOTOPY PERTURBATION METHOD; BOUNDARY VALUE-PROBLEM; CAUCHY-PROBLEM; SOLITON-SOLUTIONS; GLOBAL SOLUTION; EXISTENCE;

D O I：

10.1002/mma.4442

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the approximate solution of damped Boussinesq equation using extended Raviart-Thomas mixed finite element method. In this method, the numerical solution of this equation is obtained using triangular meshes. Also, for discretization in time direction, we use an implicit finite difference scheme. In addition, error estimation and stability analysis of both methods are shown. Finally, some numerical examples are considered to confirm the theoretical results. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：5906 / 5924

页数：19

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