Academic Journal
The discontinuous Galerkin method for solving the two-dimensional transport equation with distributed-order memory kernel on triangular meshes.
| Τίτλος: | The discontinuous Galerkin method for solving the two-dimensional transport equation with distributed-order memory kernel on triangular meshes. |
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| Συγγραφείς: | Wei, Leilei1,2 (AUTHOR) leileiwei@haut.edu.cn, Chen, Yanping1,3 (AUTHOR) ypchen@njupt.edu.cn, Qin, Fangfang3 (AUTHOR) ffqin@njupt.edu.cn, Huang, Jian4 (AUTHOR) huangjian213@xtu.edu.cn, Li, Peng5 (AUTHOR) lipeng@haut.edu.cn |
| Πηγή: | Applied Numerical Mathematics. Oct2026, Vol. 228, p57-70. 14p. |
| Θεματικοί όροι: | *Galerkin methods, *Transport equation, *Numerical analysis, *Transport theory, *Numerical calculations |
| Περίληψη: | Transport equations with distributed-order memory kernels arise naturally in modeling anomalous transport and multi-scale memory effects in complex media. Such models capture a wide spectrum of relaxation behaviors and pose substantial challenges for numerical approximation, particularly in higher dimensions. In this work, we propose a fully discrete scheme for the two-dimensional transport equation with distributed-order memory kernel. The method employs a Grünwald-type approximation for the distributed-order derivative in time, combined with a discontinuous Galerkin method on triangular meshes for spatial discretization. We rigorously establish the unconditional stability and convergence of the scheme. A set of numerical experiments is presented to confirm the accuracy, robustness, and flexibility of the proposed method. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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