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Variable Mesh Polynomial Spline Discretization for Solving Higher Order Nonlinear Singular Boundary Value Problems

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Abstract

In this paper, two generalized variable mesh finite difference schemes based on cubic spline has been developed to solve the system of nonlinear singular boundary value problems. The suggested methods are pertinent to singular boundary value problem and are of second and third order. Numerical examples are provided to prove the precision and competence of the schemes.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their valuable comments, which substantially improved the standard of the paper.

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Correspondence to Sucheta Nayak.

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Nayak, S., Khan, A. Variable Mesh Polynomial Spline Discretization for Solving Higher Order Nonlinear Singular Boundary Value Problems. Differ Equ Dyn Syst 28, 617–631 (2020). https://doi.org/10.1007/s12591-020-00515-x

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