Fractal quintic spline method for nonlinear boundary-value problems

Year 2020, Volume: 49 Issue: 6, 1885 - 1903, 08.12.2020

N Balasubramani , M. Guru Prem Prasad S Natesan

https://doi.org/10.15672/hujms.452998

Abstract

In this article, numerical solutions of nonlinear boundary-value problems are obtained using fractal quintic spline. Convergence analysis of the proposed method is also established. Proposed method has fourth-order convergence. Numerical examples are provided to show practical usefulness of the method and numerical results are compared with the existing numerical methods.

Keywords

fractal quintic spline , nonlinear boundary-value problem , quasilinearization , error estimate

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