Explicit Stable Scheme for Parabolic Differential Equations of Generating Heat Type

摘要

In[3], we have presented the scheme for solving the homogeneous parabolic of diffusion type where the heat flows from inside to the outside in the material. In this paper, we consider the nonhomogeneous parabolic equations where the heat is being generated throughout the prism and present the explicit scheme for solving the equation. We will show the scheme presented is also stable in the sense of the von neumann stability conditions.