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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Bibliographic Details
Main Author: Abd. Jalil, Nur Fariha
Format: Thesis
Language:English
Published: 2014
Subjects:
Online Access:http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf
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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.