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

Oluwaseun Adeyeye | Zendy; Zurni Omar | Zendy

Open Access

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

Author(s) -

Oluwaseun Adeyeye,

Zurni Omar

Publication year - 2018

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2018.50.1.4

Subject(s) - mathematics , ordinary differential equation , algorithm , block (permutation group theory) , simplicity , derivative (finance) , order (exchange) , taylor series , linear multistep method , differential equation , mathematical analysis , differential algebraic equation , combinatorics , philosophy , epistemology , finance , financial economics , economics

This article presents a new generalized algorithm for developing k-step (m+1) th derivative block methods for solving m th 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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