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Solving Two-Dimensional Helmholtz and Poisson Equations Using Double Laplace Transform Method
Indian Journal of Science and TechnologyObjectives: To explore the efficacy of the double Laplace transform technique in solving 2D Helmholtz and Poisson equations. Methods: The double Laplace transform clearly converts the 2D Helmholtz and Poisson equations into an algebraic calculation in ...
Ranjit R. Dhunde, Prashant Dhongle
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Numerical Mathematics: Theory, Methods and Applications, 2019
Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
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Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
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High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity
Journal of Computational Mathematics, 2020In this paper, efficient numerical scheme is proposed for solving the water wave model with nonlocal viscous term that describe the propagation of surface water wave.
Mo Xu
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The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations
Numerical Mathematics: Theory, Methods and Applications, 2018In this paper, a Legendre Galerkin Chebyshev collocation method for the Burgers-like equations with fractional nonlinear term and diffusion term is developed.
Y. Ma
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Lyapunov-type inequalities for a fractional p-Laplacian system
, 2017M. Jleli, M. Kirane, B. Samet
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A Fast Finite Difference Method for Tempered Fractional Diffusion Equations
, 2018Xu Guo, Yutian Li, Hong Wang
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