An economical first order Runge-Kutta Method for solving Ordinary Differential Equations
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2020
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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 |
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Economical Runge-Kutta Method First order Ordinary Differential Equations |
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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 |
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Link to publisher's homepage at https://amci.unimap.edu.my/ |
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t.h.lim@reading.edu.my |
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t.h.lim@reading.edu.my Lim, Tian Hwee Nor’aini, Aris |
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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 |
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13.250246 |