Numerical Simulation for Unsteady Anisotropic-Diffusion Convection Equation of Spatially Variable Coefficients and Incompressible Flow

The anisotropic-diffusion convection equation of spatiallyvariable coefficients which is relevant for functionally graded mediais discussed in this paper to find numerical solutions by using acombined Laplace transform and boundary element method. variablecoefficients transformed a constant equation.The then Laplace-transformed sothat the time variable vanishes. equationis consequently written pure integral whichinvolves time-free fundamental solution. therefore employed standardboundary Finally results obtained are inverselytransformed numerically Stehfest formula get solutionsin variable. combined boundaryelement method easy be implemented, efficient accurate forsolving unsteady problems anisotropic mediagoverned diffusion equation.