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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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 |
_version_ |
1725649916099821568 |