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Unconditionally Stable Fourth Order compact Finite Difference Scheme for 3D Microscale Heat Equation | ||
| basrah journal of science | ||
| Article 1, Volume 25, Issue 1, 2007, Pages 17-32 PDF (0 K) | ||
| Author | ||
| A.J. Harfash | ||
| Abstract | ||
| A fourth order compact difference scheme with a Crank-Nicolson technique is employed to discretize three dimensions unsteady state microscale heat transport equation. By introducing an intermediate function for the heat transport equation, we use the fourth order compact scheme. The general form of the solution is solved using the Gauss-Seidel method .The stability of this new scheme is proved unconditionally stable with respect to initial values. We use the test problem to compare the accuracy of this new scheme. The results show that the compact fourth order finite difference scheme is more accurate than the second order finite difference schemes | ||
| Keywords | ||
| finite difference; fourth order compact; three dimension heat transport equation; Crank; Nicolson | ||
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