Decomposition method for solving a system of fourth-order obstacle boundary value problems

被引：7

作者：

Momani, Shaher

Moadi, Khaled

Noor, Muhammad Aslam

机构：

[1] Mutah Univ, Fac Sci, Dept Math, Al Karak 962, Jordan

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 02期

关键词：

decomposition method; variational inequalities; obstacle problems;

D O I：

10.1016/j.amc.2005.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a fast and accurate numerical scheme for the solution of a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. The decomposition method and a modified form of this method are applied to construct the numerical solutions. The new approach provides the solution in the form of a rapidly convergent series with easily computable components and not at grid points. The scheme is tested on two problems. The results demonstrate reliability and efficiency of the algorithm developed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：923 / 931

页数：9

共 50 条

[1] Solving a system of fourth-order obstacle boundary value problems by differential transform method
Momani, Shaher
Erturk, Vedat Suat
[J]. KYBERNETES, 2008, 37 (1-2) : 315 - 325
[2] Homotopy perturbation method for solving fourth-order boundary value problems
Mohyud-Din, Syed Tauseef
Noor, Muhammad Aslam
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2007, 2007
[3] Numerical method for a system of fourth-order boundary value problems
Aziz, Tariq
Khan, Arshad
[J]. JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2006, 6 (1-4) : 19 - 29
[4] Numerical method for a system of fourth-order boundary value problems
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh
202002, India
不详
202002, India
[J]. J. Comput. Methods Sci. Eng., 2006, 1-4 (19-29):
[5] Quartic spline method for solving fourth order obstacle boundary value problems
Al-Said, EA
Noor, MA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 143 (01) : 107 - 116
[6] Cubic splines method for solving fourth-order obstacle problems
Al-Said, EA
Noor, MA
Rassias, TM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) : 180 - 187
[7] Finite difference method for solving fourth-order obstacle problems
Al-Said, EA
Noor, MA
Kaya, D
Al-Khaled, K
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2004, 81 (06) : 741 - 748
[8] Searching the least value method for solving fourth-order nonlinear boundary value problems
Yao, Huanmin
Cui, Minggen
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (02) : 677 - 683
[9] Modified variational iteration method for solving fourth-order boundary value problems
Noor M.A.
Mohyud-Din S.T.
[J]. Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 81 - 94
[10] A reliable algorithm for solving fourth-order boundary value problems
Momani S.
Moadi K.
[J]. J. Appl. Math. Comp., 2006, 3 (185-197): : 185 - 197

← 1 2 3 4 5 →