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Direct numerical method for solving a class of fourth-order partial differential equation

In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (...

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Main Authors: Hussain, Kasim Abbas, Ismail, Fudziah, Senu, Norazak
Format: Article
Language:English
Published: Research India Publications 2016
Online Access:http://psasir.upm.edu.my/id/eprint/55534/1/Direct%20numerical%20method%20for%20solving%20a%20class%20of%20fourth-order%20partial%20differential%20equation.pdf
http://psasir.upm.edu.my/id/eprint/55534/
https://www.ripublication.com/gjpam16/gjpamv12n2_07.pdf
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spelling my.upm.eprints.555342017-09-13T02:27:27Z http://psasir.upm.edu.my/id/eprint/55534/ Direct numerical method for solving a class of fourth-order partial differential equation Hussain, Kasim Abbas Ismail, Fudziah Senu, Norazak In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (ODEs) using the method of lines, then the resulting system of fourth-order ODEs is solved using direct Runge-Kutta method (RKFD). The RKFD method is constructed purposely for solving special fourth-order ODEs. Numerical results demonstrated that the RKFD method is in good agreement with the exact solutions. Research India Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55534/1/Direct%20numerical%20method%20for%20solving%20a%20class%20of%20fourth-order%20partial%20differential%20equation.pdf Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak (2016) Direct numerical method for solving a class of fourth-order partial differential equation. Global Journal of Pure and Applied Mathematics, 12 (2). pp. 1257-1272. ISSN 0973-1768; ESSN: 0973-9750 https://www.ripublication.com/gjpam16/gjpamv12n2_07.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper, we classified a class of fourth-order partial differential equations (PDEs) to be fourth-order PDE of type I, II, III and IV. The PDE of type IV is solved by using an efficient numerical method. The PDE is first transformed to a system of fourth-order ordinary differential equations (ODEs) using the method of lines, then the resulting system of fourth-order ODEs is solved using direct Runge-Kutta method (RKFD). The RKFD method is constructed purposely for solving special fourth-order ODEs. Numerical results demonstrated that the RKFD method is in good agreement with the exact solutions.
format Article
author Hussain, Kasim Abbas
Ismail, Fudziah
Senu, Norazak
spellingShingle Hussain, Kasim Abbas
Ismail, Fudziah
Senu, Norazak
Direct numerical method for solving a class of fourth-order partial differential equation
author_facet Hussain, Kasim Abbas
Ismail, Fudziah
Senu, Norazak
author_sort Hussain, Kasim Abbas
title Direct numerical method for solving a class of fourth-order partial differential equation
title_short Direct numerical method for solving a class of fourth-order partial differential equation
title_full Direct numerical method for solving a class of fourth-order partial differential equation
title_fullStr Direct numerical method for solving a class of fourth-order partial differential equation
title_full_unstemmed Direct numerical method for solving a class of fourth-order partial differential equation
title_sort direct numerical method for solving a class of fourth-order partial differential equation
publisher Research India Publications
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/55534/1/Direct%20numerical%20method%20for%20solving%20a%20class%20of%20fourth-order%20partial%20differential%20equation.pdf
http://psasir.upm.edu.my/id/eprint/55534/
https://www.ripublication.com/gjpam16/gjpamv12n2_07.pdf
_version_ 1643835923711918080
score 13.211869

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