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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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 |
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QA Mathematics Abd. Jalil, Nur Fariha Solving one dimensional heat equation and groundwater flow modeling using finite difference method |
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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. |
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Thesis |
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Abd. Jalil, Nur Fariha |
author_facet |
Abd. Jalil, Nur Fariha |
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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 |
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2014 |
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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 |
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1643657863523991552 |
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13.211869 |