WELL-POSEDNESS OF FRACTIONAL PARABOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH DIRICHLET-NEUMANN CONDITIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS(2014)
摘要
We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the first order of accuracy difference scheme. A procedure of modified Gauss elimination method is applied for the solution of the first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.
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关键词
Fractional parabolic equations,Dirichlet-Neumann conditions,positive operator,difference schemes,stability
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