Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation
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DOI: 10.1016/j.amc.2020.125718
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- Wu, Guo-Cheng & Baleanu, Dumitru & Deng, Zhen-Guo & Zeng, Sheng-Da, 2015. "Lattice fractional diffusion equation in terms of a Riesz–Caputo difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 335-339.
- Cheng, Xiujun & Duan, Jinqiao & Li, Dongfang, 2019. "A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 452-464.
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- Sun, Fengxin & Wang, Jufeng & Xu, Ying, 2024. "An improved stabilized element-free Galerkin method for solving steady Stokes flow problems," Applied Mathematics and Computation, Elsevier, vol. 463(C).
- Saffarian, Marziyeh & Mohebbi, Akbar, 2021. "Numerical solution of two and three dimensional time fractional damped nonlinear Klein–Gordon equation using ADI spectral element method," Applied Mathematics and Computation, Elsevier, vol. 405(C).
- Mahmoud A. Zaky & Ahmed S. Hendy & Rob H. De Staelen, 2021. "Alikhanov Legendre—Galerkin Spectral Method for the Coupled Nonlinear Time-Space Fractional Ginzburg–Landau Complex System," Mathematics, MDPI, vol. 9(2), pages 1-22, January.
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Keywords
Fractional PDEs; Modified distributed-order anomalous sub-diffusion equation fractional derivative; Convergence analysis and error estimate; Reproducing kernel particle method (RKPM); Riemann–Liouville derivative; Meshless Galerkin method; Kernel based method;All these keywords.
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