The numerical solution of sixth-order boundary value problems by the modified decomposition method

被引:96
作者
Wazwaz, AM [1 ]
机构
[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
关键词
sixth-order BVP; Adomian decomposition method; numerical solution;
D O I
10.1016/S0096-3003(99)00224-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A fast and accurate algorithm is developed for the solution of sixth-order boundary value problems (BVPs) with two-point boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems. The scheme is tested on one linear and two nonlinear problems. The results demonstrate reliability and efficiency of the algorithm developed. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:311 / 325
页数:15
相关论文
共 17 条
[2]  
ADOMIAN G, 1994, SOLVING PROBLEMS PHY
[3]  
Agarwal R.P., 1986, BOUND VALUE PROBL
[4]  
Baldwin P., 1987, Applicable Analysis, V24, P117, DOI 10.1080/00036818708839658
[5]   ASYMPTOTIC ESTIMATES OF THE EIGENVALUES OF A 6TH-ORDER BOUNDARY-VALUE PROBLEM OBTAINED BY USING GLOBAL PHASE-INTEGRAL METHODS [J].
BALDWIN, P .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 322 (1566) :281-305
[6]   NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS [J].
BOUTAYEB, A ;
TWIZELL, EH .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1992, 45 (3-4) :207-223
[7]  
Chandrasekhar S., 1981, HYDRODYNAMICS HYDROM
[8]  
Chawla M. M., 1979, BIT (Nordisk Tidskrift for Informationsbehandling), V19, P27, DOI 10.1007/BF01931218
[9]   NEW RESULTS FOR CONVERGENCE OF ADOMIAN METHOD APPLIED TO INTEGRAL-EQUATIONS [J].
CHERRUAULT, Y ;
SACCOMANDI, G ;
SOME, B .
MATHEMATICAL AND COMPUTER MODELLING, 1992, 16 (02) :85-93