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

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" £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-par- abolic problems is also considered.

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