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

Author(s):

Shahna Khan * , Arshad Khan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
Computational Methods for Differential Equations, Volume:11 Issue: 2, Spring 2023
Pages:
225 to 240
https://www.magiran.com/p2551526