Stability and convergence of difference approximations to pseudo-parabolic partial differential equations

Authors:
William H. Ford and T. W. Ting

Journal:
Math. Comp. **27** (1973), 737-743

MSC:
Primary 65M10

DOI:
https://doi.org/10.1090/S0025-5718-1973-0366052-4

MathSciNet review:
0366052

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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" 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.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1973-0366052-4

Keywords:
Stability,
difference schemes,
pseudo-parabolic equations

Article copyright:
© Copyright 1973
American Mathematical Society