Well-Posedness of the First Order of Accuracy Difference Scheme for Elliptic-Parabolic Equations in Hölder Spaces
A first order of accuracy difference scheme for the approximate solution of abstract nonlocal boundary value problem −𝑑2𝑢(𝑡)/𝑑𝑡2+sign(𝑡)𝐴𝑢(𝑡)=𝑔(𝑡), (0≤𝑡≤1), 𝑑𝑢(𝑡)/𝑑𝑡+sign(𝑡)𝐴𝑢(𝑡)=𝑓(𝑡), (−1≤𝑡≤0), 𝑢(0+)=𝑢(0−),𝑢(0+)=𝑢(0−),and𝑢(1)=𝑢(−1)+𝜇 for differential equations in a Hilbert space 𝐻 with a self-adj...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/237657 |