Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions
DOI10.2478/MJPAA-2020-0023MaRDI QIDQ6491228
Khaled Saoudi, Abdeldjalil Chattouh
Publication date: 24 April 2024
Published in: Moroccan Journal of Pure and Applied Analysis (Search for Journal in Brave)
parabolic equationerror estimatenumerical solutionpseudo-spectral methodnon-local boundary conditions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) 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)
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Cites Work
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- Chebyshev-Legendre pseudo-spectral method for the generalised Burgers-Fisher equation
- A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions
- Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
- Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
- Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
- A nonlinear parabolic equation with a nonlocal boundary term
- A numerical approach for a semilinear parabolic equation with a nonlocal boundary condition
- A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
- Efficient spectral-Galerkin method and analysis for elliptic PDEs with non-local boundary conditions
- Spectral Methods
- Semilinear parabolic problems with nonlocal Dirichlet boundary conditions
- Numerical solution of two-dimensional parabolic equation subject to nonstandard boundary specifications using the pseudospectral Legendre method
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Parabolic equations and thermodynamics
- Chebyshev--Legendre Spectral Viscosity Method for Nonlinear Conservation Laws
- M-MATRICES AND CONVERGENCE OF FINITE DIFFERENCE SCHEME FOR PARABOLIC EQUATION WITH INTEGRAL BOUNDARY CONDITION
- Second-order schemes for a boundary value problem with Neumann's boundary conditions
- A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions
- Numerical solution of time-dependent diffusion equations with nonlocal boundary conditions via a fast matrix approach
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