Numerical algorithm of solving 2d anisotropic parabolic equations
O. L. Kritskii
Tomsk Polytechnic University
A modification of implicit 2D «$\alpha$–$\beta$» iterative algorithm is considered. After this method is applied to numerical solving of anisotropic parabolic equation with boundary conditions of third kind. In modification a new factors as time dependence, normal derivative and diffusive matrix took into account. This factors change a structure of well known algorithm significantly. To improve a performance of constructed iterative method the boundary conditions are approximated by the second order finite differential space scheme. Algorithm was written in a matrix form. The convergence and stability of this iterative process are proved.
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O. L. Kritskii, “Numerical algorithm of solving 2d anisotropic parabolic equations”, Matem. Mod., 16:3 (2004), 50–56
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\paper Numerical algorithm of solving 2d anisotropic parabolic equations
\jour Matem. Mod.
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