The Compact Finite Difference Method of Two-Dimensional Cattaneo Model
Copyright policy )The Compact Finite Difference Method of Two-Dimensional Cattaneo Model
In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. The stability and convergence of the scheme are proved by the energy method, the convergence orders are 2 in time and 4 in space. We also use the variables separation method to find the true solution of the problem. On this basis, the validity and accuracy of the scheme are verified by numerical experiments.
- Shandong Normal University China (People's Republic of)
heat wave, Radiative heat transfer, Classical and relativistic thermodynamics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, QA1-939, Wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics, finite difference method, Cattaneo model
heat wave, Radiative heat transfer, Classical and relativistic thermodynamics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, QA1-939, Wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Mathematics, finite difference method, Cattaneo model
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