Academic Journal
Error estimate of the operator splitting L2-NIPG method for two-dimensional time-fractional diffusion equations.
| Τίτλος: | Error estimate of the operator splitting L2-NIPG method for two-dimensional time-fractional diffusion equations. |
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| Συγγραφείς: | Maji, Sandip1,2 (AUTHOR) smaji@shu.edu.cn, Natesan, Srinivasan1 (AUTHOR) natesan@iitg.ac.in |
| Πηγή: | Numerical Algorithms. Sep2026, Vol. 103 Issue 1, p389-407. 19p. |
| Θεματικοί όροι: | *Galerkin methods, *Caputo fractional derivatives, *Approximation error, *Partial differential equations, *Stability (Mechanics), *Fick's laws of diffusion, *Iterative methods (Mathematics) |
| Περίληψη: | This article proposes an alternating direction implicit type operator splitting discontinuous Galerkin finite element method to solve a class of two-dimensional time-fractional diffusion equations numerically. Here, the operator splitting method allows us to split the two-dimensional diffusion equation into two separate one-dimensional equations. In both one-dimensional problems, the time-fractional Caputo derivative is discretized over a uniform mesh using the well-known L2-discretization, and the non-symmetric interior penalty discontinuous Galerkin method is used for the discretization of spatial derivatives over a uniform mesh. Stability and error estimate of the proposed fully discrete scheme are addressed. Finally, we give a numerical experiment to validate the theoretical efficiency of the proposed method. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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