The numerical solution of third-order boundary-value problems with fourth-degree B-spline functions

被引：58

作者：

Caglar, HN ^{[1
]}

Caglar, SH ^{[1
]}

Twizell, EH ^{[1
]}

机构：

[1] Brunel Univ, Dept Math & Stat, Uxbridge UB8 3PH, Middx, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 71卷 / 03期

关键词：

third-order boundary-value problems; collocation method; B-splines;

D O I：

10.1080/00207169908804816

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Third-order linear and non-linear boundary-value problems are solved using fourth-degree B-splines. The convergence of the method is discussed, The method is tested on two problems from the literature.

引用

页码：373 / 381

页数：9

共 50 条

[1] Numerical solution of sixth order boundary value problems with sixth degree B-spline functions
Loghmani, G. B.
Ahmadinia, M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 992 - 999
[2] The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
Çaglar, HN
Çaglar, SH
Twizell, EH
[J]. APPLIED MATHEMATICS LETTERS, 1999, 12 (05) : 25 - 30
[3] Quintic B-spline method for numerical solution of fourth order singular perturbation boundary value problems
Lodhi, Ram Kishun
Mishra, Hradyesh Kumar
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (01): : 141 - 151
[4] New Quartic B-spline Approximations for Numerical Solution of Fourth Order Singular Boundary Value Problems
Iqbal, Muhammad Kashif
Abbas, Muhammad
Zafar, Bushra
[J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (03): : 47 - 63
[5] Non polynomial spline approach to the solution of a system of third-order boundary-value problems
Siraj-ul-Islam
Khan, MA
Tirmizi, IA
Twizell, EH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 152 - 163
[6] New Quartic B-Spline Approximation for Numerical Solution of Third Order Singular Boundary Value Problems
Iqbal, Muhammad Kashif
Abbas, Muhammad
Zafar, Bushra
[J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (05): : 43 - 59
[7] The numerical solution of third-order boundary-value problems using quintic splines
Khan, A
Aziz, T
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (2-3) : 253 - 260
[8] Numerical solution of third-order boundary value problems
Loghmani, G. B.
Ahmadinia, M.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2006, 30 (A3): : 291 - 295
[9] Numerical solution of fourth order boundary value problem using sixth degree spline functions
Kalyani, P.
Rao, A. S. Madhusudhan
Rao, P. S. Rama Chandra
[J]. VIBRATION PROBLEMS, 2015, 662
[10] Parametric quintic spline solution of third-order boundary value problems
Khan, Arshad
Sultana, Talat
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (12) : 1663 - 1677

← 1 2 3 4 5 →