Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

被引：0

作者：

Qinxu Ding

Patricia J. Y. Wong

机构：

[1] Nanyang Technological University,School of Electrical and Electronic Engineering

来源：

Boundary Value Problems | / 2018卷

关键词：

Cubic non-polynomial spline; Second-order; Boundary value problem; Numerical solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a mid-knot cubic non-polynomial spline is applied to obtain the numerical solution of a system of second-order boundary value problems. The numerical method is proved to be uniquely solvable and it is of second-order accuracy. We further include three examples to illustrate the accuracy of our method and to compare with other methods in the literature.

引用

共 50 条

[1] Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems
Ding, Qinxu
Wong, Patricia J. Y.
[J]. BOUNDARY VALUE PROBLEMS, 2018,
[2] Numerical Treatment of a System of Second-order Boundary Value Problems via Mid-knot Cubic Non-polynomial Spline
Ding, Qinxu
Wong, Patricia J. Y.
[J]. INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
[3] Non-polynomial spline method of a non-linear system of second-order boundary value problems
Caglar, Hikmet
Caglar, Nazan
Akkoyunlu, Canan
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (02) : 544 - 559
[4] Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems
Siraj-ul-Islam
Noor, Muhammad Aslam
Tirmizi, Kram A.
Khan, Muhammad Azam
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 179 (01) : 153 - 160
[5] Non-polynomial cubic spline method for solution of higher order boundary value problems
Khan, Shahna
Khan, Arshad
[J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (02): : 225 - 240
[6] Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method
Siddiqi, Shahid S.
Akram, Ghazala
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) : 652 - 661
[7] Quartic non-polynomial splines approach to the solution of a system of second-order boundary-value problems
Siraj-ul-Islam
Tirmizi, Ikram A.
Haq, Fazal
[J]. INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS, 2007, 21 (01): : 42 - 49
[8] Non-polynomial quintic spline solution for the system of third order boundary-value problems
Khan, Arshad
Sultana, Talat
[J]. NUMERICAL ALGORITHMS, 2012, 59 (04) : 541 - 559
[9] Non-polynomial quintic spline solution for the system of third order boundary-value problems
Arshad Khan
Talat Sultana
[J]. Numerical Algorithms, 2012, 59 : 541 - 559
[10] Discrete cubic spline method for second-order boundary value problems
Chen, Fengmin
Wong, Patricia J. Y.
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (05) : 1041 - 1053

← 1 2 3 4 5 →