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- W3213225730 abstract "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. The variablecoefficients equation is transformed to a constant coefficients equation.The constant coefficients equation is then Laplace-transformed sothat the time variable vanishes. The Laplace-transformed equationis consequently written in a pure boundary integral equation whichinvolves a time-free fundamental solution. The boundary integral equationis therefore employed to find numerical solutions using a standardboundary element method. Finally the results obtained are inverselytransformed numerically using the Stehfest formula to get solutionsin the time variable. The combined Laplace transform and boundaryelement method is easy to be implemented, efficient and accurate forsolving unsteady problems of anisotropic functionally graded mediagoverned by the diffusion convection equation." @default.
- W3213225730 created "2021-11-22" @default.
- W3213225730 creator A5054798370 @default.
- W3213225730 date "2021-11-10" @default.
- W3213225730 modified "2023-09-26" @default.
- W3213225730 title "Numerical Simulation for Unsteady Anisotropic-Diffusion Convection Equation of Spatially Variable Coefficients and Incompressible Flow" @default.
- W3213225730 doi "https://doi.org/10.5556/j.tkjm.54.2023.4069" @default.
- W3213225730 hasPublicationYear "2021" @default.
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