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

Ford, William H.; Ting, T. W.

doi:10.1090/S0025-5718-1973-0366052-4

Stability and convergence of difference approximations to pseudo-parabolic partial differential equations
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by William H. Ford and T. W. Ting PDF

Math. Comp. 27 (1973), 737-743 Request permission

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.

References

J. Appl. Math Phys.

Methoden der Mathematischen Physik

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