A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

被引：9

作者：

Ejaz, Syeda Tehmina ^{[1
]}

Mustafa, Ghulam ^{[1
]}

机构：

[1] Islamia Univ Bahawalpur, Dept Math, Punjab 63100, Pakistan

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷

关键词：

D O I：

10.1155/2016/5026504

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithmis stable and convergent and givesmore accurate results than fourthdegree B-spline algorithm.

引用

页数：14

共 50 条

[31] Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems
Yang, Liu
Shen, Chunfang
Xie, Dapeng
ABSTRACT AND APPLIED ANALYSIS, 2013,
[32] On Positive Solutions of Nonlinear Third-Order Impulsive Boundary Value Problems on Time Scales
Karaca, Ilkay Yaslan
Fen, Fatma Tokmak
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4447 - 4461
[33] Existence and uniqueness for nonlinear third-order two-point boundary value problems
Wang, Libo
Pei, Minghe
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (03): : 321 - 332
[34] Some nonlinear boundary value problems for a third-order functional-differential equation
A. Ya. Lepin
L. A. Lepin
V. D. Ponomarev
Differential Equations, 2007, 43 : 1067 - 1071
[35] THIRD-ORDER NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM
王国灿
金丽
AppliedMathematicsandMechanics(EnglishEdition), 2002, (06) : 670 - 677
[36] Third-order nonlinear singularly perturbed boundary value problem
Wang Guo-can
Jin Li
Applied Mathematics and Mechanics, 2002, 23 (6) : 670 - 677
[37] Solvability of a nonlinear third-order periodic boundary value problem
Yu, Hengxue
Pei, Minghe
APPLIED MATHEMATICS LETTERS, 2010, 23 (08) : 892 - 896
[38] Third-order nonlinear singularly perturbed boundary value problem
Wang, GC
Jin, L
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 23 (06) : 670 - 677
[39] Existence of positive solutions for third-order boundary value problems
Nyamoradi, N.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (01): : 8 - 18
[40] On boundary value problems for third-order functional differential equations
Haščák, Alexander
Pirč, Viktor
Staněk, Svatoslav
Nonlinear Analysis, Theory, Methods and Applications, 2000, 42 (06): : 1077 - 1089

← 1 2 3 4 5 →