ABSTRACT
This chapter considers the steady state solution to the heat diffusion model. Here boundary conditions that have derivative terms in them are applied to the cooling fin model, which will be extended to two and three space variables in the next two chapters. Variations of the Gauss elimination method are studied in Sections 2.3 and 2.4 where the block structure of the coefficient matrix is utilized. This will be very important for parallel solution of large algebraic systems. The last two sections are concerned with the analysis of two types of convergence: one with respect to discrete time and one with respect to the mesh size. Additional introductory references include Burden and Faires [4] and Meyer [16].
