[PDF][PDF] A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique

S Roy, ASV Murthy, RB Kudenatti - Applied numerical mathematics, 2009 - academia.edu
S Roy, ASV Murthy, RB Kudenatti
Applied numerical mathematics, 2009academia.edu
… In the following, we study in detail the hyperbolic heat conduction equation (3a-3c) using
techniques of multiple scale and the Fourier series which are provided in Section 2 and 3
respectively. Section 4 is devoted to the numerical solution of equations (3a-3c) using finite
difference method. In section 5, we have developed a finite difference scheme based on
multiple scale technique for the solution of the hyperbolic heat equation. Stability …
Abstract
For weakly hyperbolic heat equation a numerical scheme based on multiple scale technique is derived. The advantages over the conventional finite difference method are highlighted.
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