Numerical solution of two and three dimensional time fractional damped nonlinear Klein–Gordon equation using ADI spectral element method
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DOI: 10.1016/j.amc.2021.126182
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- Abbaszadeh, Mostafa & Dehghan, Mehdi, 2021. "Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation," Applied Mathematics and Computation, Elsevier, vol. 392(C).
- Dehghan, Mehdi & Shokri, Ali, 2008. "A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 700-715.
- Zahra, W.K. & Nasr, M.A. & Van Daele, M., 2019. "Exponentially fitted methods for solving time fractional nonlinear reaction–diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 468-490.
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Cited by:
- Qiao, Leijie & Qiu, Wenlin & Xu, Da, 2023. "Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 205-231.
- Behnood, Maryam & Shokri, Ali, 2022. "A Legendre spectral element method for the family of regularized long wave equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 239-253.
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Keywords
Time fractional; Damped Klein–Gordon equation; Alternating direction implicit method; Unconditionally stability; Error estimate; Legendre spectral element method;All these keywords.
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