Fractional in time diffusion-wave equation and its numerical approximation
Keyword(s):
A Priori
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In this paper an initial-boundary value problem for fractional in time diffusion-wave equation is considered. A priori estimates in Sobolev spaces are derived. A fully discrete difference scheme approximating the problem is proposed and its stability and convergence are investigated. A numerical example demonstrates the theoretical results.
2007 ◽
Vol 12
(1)
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pp. 3-20
1972 ◽
Vol 69
(4)
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pp. 287-293
1997 ◽
Vol 49
(3)
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pp. 373-402
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2013 ◽
Vol 2013
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pp. 1-8
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