FINITE-VOLUME SOLUTION OF DIFFUSION EQUATION AND APPLICATION TO MODEL PROBLEMS.

Asish Mitra

Abstract: In the present numerical study, the two dimensional diffusion equations are converted to a system of linear equations using finitevolume method. The system of equations is solved by a direct method. For the entire process a computer code is developed in Matlab. In the second part of the present study, the computer codes developed for solving diffusion equation is then applied to a series of model problems. These problems contain features found in more complicated engineering situations. The problems are distinguished by their different boundary conditions, and by the variation of the source term and diffusivity in the domain.

Keywords: Diffusion Equation, Finite Volume Method, Numerical Study, Model Problems.

DOI: https://doi.org/10.15623/ijret.2013.0211009