techniques of multiplescale 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 multiplescaletechnique for the solution of the hyperbolicheatequation. 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.