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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| Format: | Thesis |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | 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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| Summary: | 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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