An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions
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Publication:2282660
DOI10.1016/j.apm.2015.01.029zbMath1443.65237OpenAlexW1996681685MaRDI QIDQ2282660
Mohamed A. Abdelkawy, Ali H. Bhrawy, Ramy M. Hafez, Eid H. Doha
Publication date: 8 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.01.029
collocation methodNeumann boundary conditionnonlocal boundary conditionsLegendre-Gauss-Lobatto quadraturenonclassic boundary value problemsintegral conservation condition
Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (5)
An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays ⋮ Jacobi collocation approximation for solving multi-dimensional Volterra integral equations ⋮ Exponential Jacobi spectral method for hyperbolic partial differential equations ⋮ A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis ⋮ The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions
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