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
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 118卷 / 2-3期
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 50 条
[41]   A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations [J].
Hasan, Yahya Qaid ;
Zhu, Liu Ming .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) :3261-3265
[42]   Solutions of a Class of Sixth Order Boundary Value Problems Using the Reproducing Kernel Space [J].
Akram, Ghazala ;
Rehman, Hamood Ur .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[43]   Solution of Linear Twelfth-Order Boundary Value Problems by Using Differential Transform Method [J].
Erturk, Vedat Suat .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2008, 13 (M08) :57-63
[44]   A New Treatment of the Decomposition Method for Nonclassical Boundary Value Problems [J].
Yucel, M. ;
Mukhtarov, O. Sh. .
JOURNAL OF ADVANCED PHYSICS, 2018, 7 (02) :161-166
[45]   Numerical solution of fractional order multi-point boundary value problems using reproducing kernel method with shifted Legendre polynomials [J].
Sakar, Mehmet Giyas ;
Saldir, Onur ;
Ata, Ayse .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2025, 76 (04)
[46]   Highly Efficacious Sixth-Order Compact Approach with Nonclassical Boundary Specifications for the Heat Equation [J].
Arar, Nouria ;
Kaki, Leila Ait ;
Makhlouf, Abdellatif Ben .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[47]   On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method [J].
Hussin, Che Haziqah Che ;
Kilicman, Adem .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[48]   A new method for high-order boundary value problems [J].
Zhang, Yingchao ;
Mei, Liangcai ;
Lin, Yingzhen .
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[49]   An efficient numerical technique for the solution of nonlinear singular boundary value problems [J].
Singh, Randhir ;
Kumar, Jitendra .
COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (04) :1282-1289
[50]   New Quartic B-Spline Approximation for Numerical Solution of Third Order Singular Boundary Value Problems [J].
Iqbal, Muhammad Kashif ;
Abbas, Muhammad ;
Zafar, Bushra .
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (05) :43-59
12345