An Order Four Continuous Numerical Method for Solving General Second Order Ordinary Differential Equations

Friday Obarhua; Oluwasemire John Adegboro

doi:10.46481/jnsps.2021.150

Authors

Friday Obarhua
obarhuafo@futa.edu.ng
Department of Mathematical Sciences, The Federal University of Technology, Akure, Nigeria
Oluwasemire John Adegboro Department of Mathematical Sciences, The Federal University of Technology, Akure, Nigeria

Keywords:

Numerical Scheme, Continuous hybrid method, Zero stability, Linear and nonlinear

Abstract

Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically. In this work, the continuous hybrid numerical method for the solution of general second order initial value problems of ordinary differential equations is considered. The method of collocation of the differential system arising from the approximate solution to the problem is adopted using the power series as a basis function. The method is zero stable, consistent, convergent. It is suitable for both non-stiff and mildly-stiff problems and results were found to compete favorably with the existing methods in terms of accuracy.

Dimensions

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