Third Order Convergent Finite Difference Method for the Third Order Boundary Value Problem in ODEs

Year 2022, Volume: 14 Issue: 1, 184 - 190, 30.06.2022

Pramod Pandey

https://doi.org/10.47000/tjmcs.1014224

Cited By: 1

Abstract

We propose a third order convergent finite-difference method for the approximate solution of the boundary value problems. We developed our numerical technique by employing Taylor series expansion and method of undetermined coefficients. The convergence property of the proposed finite difference method discussed. To demonstrate the computational accuracy and effectiveness of the proposed method numerical results presented.

Keywords

Boundary value problem, difference method, third order convergence, third order differential equation

Supporting Institution

NA

Project Number

NA

Thanks

NA

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