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An economical first order Runge-Kutta Method for solving Ordinary Differential Equations

Link to publisher's homepage at https://amci.unimap.edu.my/

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Main Authors: Lim, Tian Hwee, Nor’aini, Aris
Other Authors: t.h.lim@reading.edu.my
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2020
Subjects:
Economical Runge-Kutta Method
First order
Ordinary Differential Equations
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63741
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spelling my.unimap-637412020-01-07T09:04:53Z An economical first order Runge-Kutta Method for solving Ordinary Differential Equations Lim, Tian Hwee Nor’aini, Aris t.h.lim@reading.edu.my Economical Runge-Kutta Method First order Ordinary Differential Equations Link to publisher's homepage at https://amci.unimap.edu.my/ In this paper, we presented a type of Runge-Kutta method to solve initial value problems in Ordinary Differential Equations. Similar to Euler’s method, the new method is of order one, easy to implement and only require one function evaluation per step except the initial step. The only different is this method requires the information from the previous step. We studied the stability of the new method and numerical results are presented. 2020-01-07T09:04:53Z 2020-01-07T09:04:53Z 2019-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.8(1), 2019, pages 61-66 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63741 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Economical Runge-Kutta Method
First order
Ordinary Differential Equations
spellingShingle Economical Runge-Kutta Method
First order
Ordinary Differential Equations
Lim, Tian Hwee
Nor’aini, Aris
An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 t.h.lim@reading.edu.my
author_facet t.h.lim@reading.edu.my
Lim, Tian Hwee
Nor’aini, Aris
format Article
author Lim, Tian Hwee
Nor’aini, Aris
author_sort Lim, Tian Hwee
title An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
title_short An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
title_full An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
title_fullStr An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
title_full_unstemmed An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
title_sort economical first order runge-kutta method for solving ordinary differential equations
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2020
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63741
_version_ 1670805818858012672
score 13.222552

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