Solving Linear I-D AND 2-D Heat Equations Using ADM

Low, Tuck Hwa (2007) Solving Linear I-D AND 2-D Heat Equations Using ADM. Universiti Malaysia Sabah. (Unpublished)

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Abstract

In this study, an efficient numerical method had been investigated. This method is Adomian decomposition method (ADM) in which it was involved in solving 1-0 and 2-0 linear heat equations. This method has been used to solve the heat equation, which governs on numerous scientific and engineering experimentations. Some cases of heat equations were solved as examples to illustrate the ability and reliability of this method. Approximate analytical solutions calculated by ADM were compared with the exact solutions in order to obtain the absolute errors. The values of absolute error obtained were small and it was proved that ADM had a fast convergence in solving I -0 and 2-D linear heat equation problems. In this case of study, ADM had been proved in providing a facile calculation in the numerical problems solving in heat equations. It can be seen from the demonstration on the proposed method that was successfully produced a better approximation towards the exact solution.

Item Type: Academic Exercise
Uncontrolled Keywords: Linear I-D And 2-D Heat Equations Using ADM
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: SCHOOL > School of Science and Technology
Depositing User: MDM FAUZIAH MATSIN
Date Deposited: 29 Jul 2013 06:43
Last Modified: 23 Oct 2017 07:16
URI: http://eprints.ums.edu.my/id/eprint/6629

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