A Cubic Spline Formulation and Application of Newton Tage Method for the Solution of Two-Point Boundary Value Problems

Vol-3 | Issue-10 | October 2018 | Published Online: 10 October 2018    PDF ( 901 KB )
Author(s)
Seema 1; Dr. Ankush 2

1Research Scholar, Department of Mathematics, NIILM University, Kaithal

2Asstt. Professor, Department of Mathematics, NIILM University, Kaithal

Abstract

In this article, we report a proficient high order numerical method dependent on cubic spline estimate and use of newton TAGE strategy for the arrangement of two point non-linear boundary esteem issues, whose compelling capacities are in vital structure, on a non-uniform mesh. The proposed strategy is relevant when the inward network purposes of arrangement span are odd in number. The proposed cubic spline strategy is likewise material to necessary differential conditions having singularities. Computational outcomes are given to show the utility of the strategy.

Keywords
Non-uniform mesh, TAGE method.
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