T. Chaoluis

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The generalized Laguerre-generalized Hermite mixed spectral method is developed. Various orthogonal projections are investigated. Some mixed approximation results are established. As an example of their important applications, a mixed spectral scheme is proposed for two-dimensional non-isotropic heat conduction equation. Its convergence is proved. Numerical(More)
In this paper, we propose mixed generalized Laguerre-Legendre spectral method for partial differential equation set in a semiinfinite channel. We investigate mixed generalized Laguerre-Legendre approximation. We propose the new algorithm for various boundary condition problems. The global convergence of proposed algorithms are proved. Numerical results(More)
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