Method of lines and runge-kutta method in solving partial differential equation for heat equation

Manshoor, Bukhari and Salleh, Hamidon and Khalid, Amir and Sayed Abdelaal, Muhammed Abdelfattah (2021) Method of lines and runge-kutta method in solving partial differential equation for heat equation. Journal of Complex Flow, 3 (1). pp. 21-25.

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Solving the differential equation for Newton’s cooling law mostly consists of several fragments formed during a long time to solve the equation. However, the stiff type problems seem cannot be solved efficiently via some of these methods. This research will try to overcome such problems and compare results from two classes of numerical methods for heat equation problems. The heat or diffusion equation, an example of parabolic equations, is classified into Partial Differential Equations. Two classes of numerical methods which are Method of Lines and Runge-Kutta will be performed and discussed. The development, analysis and implementation have been made using the Matlab language, which the graphs exhibited to highlight the accuracy and efficiency of the numerical methods. From the solution of the equations, it showed that better accuracy is achieved through the new combined method by Method of Lines and Runge-Kutta method.

Item Type: Article
Uncontrolled Keywords: Heat equation; partial differential equation; runge-kutta method; method of lines
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Mechanical and Manufacturing Engineering > Department of Manufacturing Engineering
Depositing User: Mr. Abdul Rahim Mat Radzuan
Date Deposited: 31 Oct 2021 04:49
Last Modified: 31 Oct 2021 04:49

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