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On a class of difference schemes for multi-dimensional nonlinear heat conduction problems. (Russian. English summary) Zbl 0579.65105

The author studies the Cauchy-Dirichlet problem for a multidimensional quasilinear equation of parabolic type by means of a nonlinear difference scheme for which a difference conservation law is fulfilled. Convergence and stability of the proposed scheme are proved.
Reviewer: S.F.Sburlan

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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