An efficient spectral approximation for solving several types of parabolic PDEs with nonlocal boundary conditions
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Publication:1718206
DOI10.1155/2014/369029zbMath1407.65228OpenAlexW2043316676WikidataQ59064693 ScholiaQ59064693MaRDI QIDQ1718206
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/369029
Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain
- A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation
- The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
- Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
- A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays
- Solving a parabolic PDE with nonlocal boundary conditions using the sinc method
- A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
- Numerical solution of a nonclassical parabolic problem: an integro-differential approach
- A tau method approach for the diffusion equation with nonlocal boundary conditions
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