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Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods

Wan Abdullah, Wan Rukaida (2004) Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract

This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of Lines and Finite Difference Method are discussed. In Method of Lines, several Runge-Kutta methods were incorporated, including the third and fourth order. Finally, analysis on numerical results for the three heat problems is presented.

Item Type:Thesis (Masters)
Additional Information:Thesis (Master of Science (Mathematics)) - Universiti Teknologi Malaysia, 2004; Supervisor : Assoc. Prof. Dr. Nazeeruddin Yaacob
Uncontrolled Keywords:partial differential equations, numerical method, heat problems
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:5442
Deposited By: Ms Zalinda Shuratman
Deposited On:23 Apr 2008 05:01
Last Modified:15 Aug 2012 03:46

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