| Title | Weak solutions and convergence of the Galerkin method for the fractional diffusion equation |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | Hulianytskyi, AL |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2015.03.032 |
| Issue | 3 |
| Section | Information Science and Cybernetics |
| Pagination | 32-39 |
| Date Published | 3/2015 |
| Language | Ukrainian |
| Abstract | We construct a semidiscrete Galerkin method for the time-fractional diffusion equation. We prove the weak convergence of the method in the case of the right-hand side from a negative space with respect to the space variable. The continuity of the solution with values in a space of square-integrable functions is proven. |
| Keywords | diffusion equation, Galerkin method, weak convergence |
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