Stability and Convergence of Difference Approximations to Pseudo-Parabolic Partial Differential Equations

Abstract

Two difference approximations to the solution of a pseudo-parabolic problem are constructed and shown by means of stability analysis to converge in the "discrete" ${L_2}$ norm. A relation between parabolic and pseudo-parabolic difference schemes is discussed, and the stability of difference approximations to backward time parabolic and pseudo-parabolic problems is also considered.