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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 5, Pages 680–696
(Mi zvmmf3262)
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This article is cited in 4 scientific papers (total in 4 papers)
Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids
I. P. Boglaev, V. V. Sirotkin Moscow
Abstract:
Numerical methods of solving quasilinear heat-conduction equations with a small parameter for the highest-order derivatives with respect to the spatial variables are considered. Nonlinear difference schemes are constructed by the exact difference scheme method. The proposed schemes are uniformly convergent in the small parameter on arbitrary nonuniform grids. Iterative algorithms uniformly convergent in the small parameter are chosen for solving the nonlinear difference schemes.
Received: 24.10.1988 Revised: 06.06.1989
Citation:
I. P. Boglaev, V. V. Sirotkin, “Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990), 680–696; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 28–40
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https://www.mathnet.ru/eng/zvmmf3262 https://www.mathnet.ru/eng/zvmmf/v30/i5/p680
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Abstract page: | 298 | Full-text PDF : | 105 | References: | 80 | First page: | 1 |
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