Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions
2020 ◽
Vol 6
(2)
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pp. 303-317
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AbstractThe present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration is reduced to a system of ODEs which can be solved by the second order Crank-Nicolson schema. Optimal error estimates for the semi-discrete scheme are derived in L2-norm. Numerical tests are included to demonstrate the effectiveness of the proposed method.
2017 ◽
pp. 571
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2016 ◽
Vol 40
(4)
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pp. 2593-2605
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2001 ◽
Vol 20
(3)
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pp. 637-659
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