An efficient meshless method based on RBFs for the time fractional diffusion-wave equation
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Publication:1715777
DOI10.1007/s13370-018-0616-yzbMath1413.65319OpenAlexW2887116608MaRDI QIDQ1715777
Mohammad Aslefallah, Elyas Shivanian
Publication date: 29 January 2019
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-018-0616-y
radial basis functionfractional PDEKansa's methoddiffusion-wave equationfinite differences \(\theta \)-method
Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spline approximation (41A15) Fractional partial differential equations (35R11)
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A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations, Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation, Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions, Application of the singular boundary method to the two-dimensional telegraph equation on arbitrary domains, Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method, Fractional cable problem in the frame of meshless singular boundary method
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Cites Work
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