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

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

his 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 exampl...

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Main Authors: Oluwaseun Adeyeye, Zurni Omar
Format: Article
Language:English
Published: ITB Journal Publisher 2018-03-01
Series:Journal of Mathematical and Fundamental Sciences
Subjects:
block methods
generalized algorithm
higher derivative
higher order
k-step
Taylor series
Online Access:http://journals.itb.ac.id/index.php/jmfs/article/view/3594
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spelling doaj-8f2fc81e369c4d20a7ae79fd3f40bd182020-11-24T22:57:39ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102018-03-01501405810.5614/j.math.fund.sci.2018.50.1.4New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential EquationsOluwaseun Adeyeye 0Zurni Omar1Department of Mathematics, School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, 06010, Kedah, MalaysiaDepartment of Mathematics, School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, 06010, Kedah, Malaysiahis 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 given to show the simplicity involved in the usage of this new generalized algorithm.http://journals.itb.ac.id/index.php/jmfs/article/view/3594block methodsgeneralized algorithmhigher derivativehigher orderk-stepTaylor series
collection DOAJ
language English
format Article
sources DOAJ
author Oluwaseun Adeyeye
Zurni Omar
spellingShingle Oluwaseun Adeyeye
Zurni Omar
New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
Journal of Mathematical and Fundamental Sciences
block methods
generalized algorithm
higher derivative
higher order
k-step
Taylor series
author_facet Oluwaseun Adeyeye
Zurni Omar
author_sort Oluwaseun Adeyeye
title New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
title_short New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
title_full New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
title_fullStr New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
title_full_unstemmed New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
title_sort new generalized algorithm for developing k-step higher derivative block methods for solving higher order ordinary differential equations
publisher ITB Journal Publisher
series Journal of Mathematical and Fundamental Sciences
issn 2337-5760
2338-5510
publishDate 2018-03-01
description his 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 given to show the simplicity involved in the usage of this new generalized algorithm.
topic block methods
generalized algorithm
higher derivative
higher order
k-step
Taylor series
url http://journals.itb.ac.id/index.php/jmfs/article/view/3594
work_keys_str_mv AT oluwaseunadeyeye newgeneralizedalgorithmfordevelopingkstephigherderivativeblockmethodsforsolvinghigherorderordinarydifferentialequations
AT zurniomar newgeneralizedalgorithmfordevelopingkstephigherderivativeblockmethodsforsolvinghigherorderordinarydifferentialequations
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