Numerical solutions of variable order time fractional (1+1)- and (1+2)-dimensional advection dispersion and diffusion models
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DOI: 10.1016/j.amc.2019.04.085
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References listed on IDEAS
- Arbabi, Somayeh & Nazari, Akbar & Darvishi, Mohammad Taghi, 2017. "A two-dimensional Haar wavelets method for solving systems of PDEs," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 33-46.
- Tianzeng Li & Yu Wang & Yong Yang, 2014. "Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-14, April.
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Cited by:
- Abdul Ghafoor & Sirajul Haq & Manzoor Hussain & Poom Kumam & Muhammad Asif Jan, 2019. "Approximate Solutions of Time Fractional Diffusion Wave Models," Mathematics, MDPI, vol. 7(10), pages 1-15, October.
- Wei, Leilei & Li, Wenbo, 2021. "Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo–Fabrizio fractional derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 280-290.
- Sadri, Khadijeh & Aminikhah, Hossein, 2021. "An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
- Wei, Leilei & Wang, Huanhuan, 2023. "Local discontinuous Galerkin method for multi-term variable-order time fractional diffusion equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 685-698.
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- Abdul Ghafoor & Sirajul Haq & Manzoor Hussain & Poom Kumam & Muhammad Asif Jan, 2019. "Approximate Solutions of Time Fractional Diffusion Wave Models," Mathematics, MDPI, vol. 7(10), pages 1-15, October.
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Keywords
Two dimensional Haar wavelets; Variable order Caputo derivative; Finite differences;All these keywords.
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