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An approximation of ultra-parabolic equations. (English) Zbl 1246.65147

Summary: The first and second order of accuracy difference schemes for the approximate solution of the initial boundary value problem for ultra-parabolic equations are presented. Stability of these difference schemes is established. Theoretical results are supported by the result of numerical examples.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

References:

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