Fractal quintic spline method for nonlinear boundary-value problems

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:6
Fractal quintic spline method for nonlinear boundary-value problems

Fractal quintic spline method for nonlinear boundary-value problems

Authors : N BALASUBRAMANİ, M GURU PREM PRASAD, S NATESAN

Pages : 1885-1903

Doi:10.15672/hujms.452998

View : 146 | Download : 10

Publication Date : 2020-12-08

Article Type : Research Paper

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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