The use of quadratures for solving convective and highly stiff transport problems |
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Authors: | Javier Salcedo Bruno Salcedo FJ Sánchez-Bernabe |
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Affiliation: | 1. Instituto Politécnico Nacional, ESIME, Santa Ana 1000, San Francisco Culhuacan, D.F. 04430, Mexico;2. Instituto Tecnológico Autónomo de México, Rio Hondo 1, Progreso Tizapan, D.F. 01080, Mexico;3. Univ. Autónoma Metropolitana-Iztapalapa, San Rafael Atlixco 186, Col.Vicentina, D.F. 09340, Mexico |
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Abstract: | In this paper we introduce a method for the numerical solutions of initial value problems, that combines finite differences with Simpson’s rule. The effectiveness of the method is proved by solving, in one spatial dimension, a stiff and convection-dominated transport problem. To solve the same problem in two spatial dimensions, the proposed method was used successfully in combination with Strang’s operator decomposition method. |
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