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

Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:

JR_CMDE-11-2_002

Index date: 17 April 2023

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

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

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

Shahna Khan

Department of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi-۲۱, India.

Arshad Khan

Department of Mathematics, Jamia Millia Islamia, New Delhi-۲۵, India.

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