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Stability and convergence of some semidiscrete three layer schemes for evolution problems. (Russian. English summary) Zbl 0553.34009

Using Chebyshev polynomials of two variables for non-stationary equations of the first and second order in the case of the Cauchy problem, the stability and the convergence of some semidiscrete three-layer schemes are defined in a Hilbert space.

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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