Fractal quintic spline method for nonlinear boundary-value problems

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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