Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions

DOI10.1007/S00009-015-0635-YzbMath1354.65201OpenAlexW1764653222MaRDI QIDQ727535

Ali H. Bhrawy, Samer S. Ezz-Eldien, Mohamed A. Abdelkawy

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0635-y

zbMATH Keywords

algorithmcollocation methodimplicit Runge-Kutta methodsemidiscretizationnon-local boundary conditionsnumerical resultfractional Boussinesq equationshifted Legendre-Gauss-Lobatto quadrature

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

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New quadrature approach based on operational matrix for solving a class of fractional variational problems ⋮ Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional ⋮ Numerical Solution of Eighth-order Boundary Value Problems by Using Legendre Polynomials ⋮ Fast and precise spectral method for solving pantograph type Volterra integro-differential equations ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations ⋮ A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations ⋮ Laguerre approach for solving system of linear Fredholm integro-differential equations ⋮ Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models ⋮ An algorithm for the approximate solution of the fractional Riccati differential equation

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