New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations

Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2018, Vol 50, Issue 1

Abstract

This article presents a new generalized algorithm for developing k-step (m+1)th derivative block methods for solving mth order ordinary differential equations. This new algorithm utilizes the concept from the conventional Taylor series approach of developing linear multistep methods. Certain examples are shown to show the simplicity involved in the usage of this new generalized algorithm.

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  • EP ID EP540977
  • DOI 10.5614/j.math.fund.sci.2018.50.1.4
  • Views 127
  • Downloads 0

How To Cite

(2018). New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations. Journal of Mathematical and Fundamental Sciences, 50(1), 40-58. https://europub.co.uk/articles/-A-540977