Non-polynomial fractal quintic spline method for nonlinear boundary-value problems

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Keywords:

Difference equations, fractal non-polynomial spline, quasilinearisation, convergence analysis, truncation error.

Abstract

In this study, we have proposed second, fourth and sixth order convergent numerical techniques for approximating linear and non-linear boundary value problems of second order with the help of fractal non-polynomial spline function. We have discussed the convergence analysis and error bound for sixth order method to prove the theoretical aspects of the presented method. Numerical problems are experimented to validate the theoretical results. Comparison with fractal polynomial and few other existing methods leads us to the conclusion that the proposed technique is more efficient.

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Published

2022-01-12

How to Cite

Arshad Khan, Zainav Khatoon, & Talat Sultana. (2022). Non-polynomial fractal quintic spline method for nonlinear boundary-value problems. Journal of Computational Analysis and Applications (JoCAAA), 30(1), 130–152. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/109

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