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| Content Provider | Springer Nature Link |
|---|---|
| Author | Huang, Jianfei Tang, Yifa Vázquez, Luis Yang, Jiye |
| Copyright Year | 2013 |
| Abstract | Time fractional diffusion-wave equations are generalizations of classical diffusion and wave equations which are used in modeling practical phenomena of diffusion and wave in fluid flow, oil strata and others. In this paper we construct two finite difference schemes to solve a class of initial-boundary value time fractional diffusion-wave equations based on its equivalent partial integro-differential equations. Under the weak smoothness conditions, we prove that our two schemes are convergent with first-order accuracy in temporal direction and second-order accuracy in spatial direction. Numerical experiments are carried out to demonstrate the theoretical analysis. |
| Starting Page | 707 |
| Ending Page | 720 |
| Page Count | 14 |
| File Format | |
| ISSN | 10171398 |
| Journal | Numerical Algorithms |
| Volume Number | 64 |
| Issue Number | 4 |
| e-ISSN | 15729265 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2013-01-24 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Finite difference scheme Fractional diffusion-wave equation Integro-differential equation Euler method Crank–Nicolson method Numeric Computing Algorithms Algebra Theory of Computation Numerical Analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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