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Solving one dimensional heat equation and groundwater flow modeling using finite difference method

This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for eac...

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Main Author: Abd. Jalil, Nur Fariha
Format: Thesis
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf
http://eprints.utm.my/id/eprint/78324/
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spelling my.utm.783242018-08-26T11:51:48Z http://eprints.utm.my/id/eprint/78324/ Solving one dimensional heat equation and groundwater flow modeling using finite difference method Abd. Jalil, Nur Fariha QA Mathematics This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for each method has been developed and the solution of the problem is simplified using MATLAB software. The result obtained by the explicit method is given the most accurate and the best results compared to the Crank-Nicolson method and implicit method. 2014-01 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf Abd. Jalil, Nur Fariha (2014) Solving one dimensional heat equation and groundwater flow modeling using finite difference method. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:80011
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Abd. Jalil, Nur Fariha
Solving one dimensional heat equation and groundwater flow modeling using finite difference method
description This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for each method has been developed and the solution of the problem is simplified using MATLAB software. The result obtained by the explicit method is given the most accurate and the best results compared to the Crank-Nicolson method and implicit method.
format Thesis
author Abd. Jalil, Nur Fariha
author_facet Abd. Jalil, Nur Fariha
author_sort Abd. Jalil, Nur Fariha
title Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_short Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_full Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_fullStr Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_full_unstemmed Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_sort solving one dimensional heat equation and groundwater flow modeling using finite difference method
publishDate 2014
url http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf
http://eprints.utm.my/id/eprint/78324/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:80011
_version_ 1643657863523991552
score 13.160551

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