Semianalytical Method for Parabolic Partial Differential Equations PDEs

1 Semianalytical Method for Parabolic Partial Differential Equations (PDEs) [Pg.353]

Transient heat conduction or mass transfer in solids with constant physical properties (diffusion coefficient, thermal diffusivity, thermal conductivity, etc.) is usually represented by a linear parabolic partial differential equation. In this chapter, we describe how one can arrive at the semianalytical solutions (solutions are analytical in the time variable and numerical in the spatial dimension) for linear parabolic partial differential equations using Maple, the method of lines and the matrix exponential. [Pg.353]