Non-polynomial cubic spline method for solution of higher order boundary value problems

被引：2

作者：

Khan, Shahna ^{[1
]}

Khan, Arshad ^{[2
]}

机构：

[1] Univ Delhi, Sri Venkateswara Coll, Dept Math, New Delhi 21, India

[2] Jamia Millia Islamia, Dept Math, New Delhi 25, India

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2023年 / 11卷 / 02期

关键词：

Non-polynomial spline; Higher-order; Non-linear; Convergence analysis; Boundary value problems; APPROXIMATE;

D O I：

10.22034/cmde.2022.49827.2072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new algorithm based on non-polynomial spline is developed for the solution of higher order boundary value problems(BVPs). Employment of the method is done by decomposing the higher order BVP into a system of third order BVPs. Convergence analysis of the developed method is also discussed. The method is tested on higher order linear as well as non-linear BVPs which shows the accuracy and efficiency of the method and also compared our results with some existing fourth order methods.

引用

页码：225 / 240

页数：16

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