Differential quadrature method for time-dependent diffusion equation

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2003

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Akman, Makbule

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This thesis presents the Differential Quadrature Method (DQM) for solving time-dependent or heat conduction problem. DQM discretizes the space derivatives giving a system of ordinary differential equations with respect to time and the fourth order Runge Kutta Method (RKM) is employed for solving this system. Stabilities of the ordinary differential equations system and RKM are considered and step sizes are arranged accordingly. The procedure is applied to several time dependent diffusion problems and the solutions are presented in terms of graphics comparing with the exact solutions. This method exhibits high accuracy and efficiency comparing to the other numerical methods.

Subject Keywords

Differential equations, Quadratic differentials, Diffusion, Time-dependent diffusion equation, Differential quadrature method, Runge-Kutta method

URI

http://etd.lib.metu.edu.tr/upload/1224559/index.pdf
https://hdl.handle.net/11511/13761

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Akman, “Differential quadrature method for time-dependent diffusion equation,” M.S. - Master of Science, Middle East Technical University, 2003.