Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Parumasur, N., Singh, P., Singh, V. (2009)
Mathematical Problems in Engineering
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Parumasur, N., Singh, P., Singh, V. (2009)
Mathematical Problems in Engineering
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Miftahof, R., Akhmadeev, N. (2007)
Computational & Mathematical Methods in Medicine
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R. Belaouar, T. Colin, G. Gallice, C. Galusinski (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study a Zakharov system coupled to an electron diffusion equation in order to describe laser-plasma interactions. Starting from the Vlasov-Maxwell system, we derive a nonlinear Schrödinger like system which takes into account the energy exchanged between the plasma waves and the electrons via Landau damping. Two existence theorems are established in a subsonic regime. Using a time-splitting, spectral discretizations for the Zakharov system and a finite difference scheme...
Solórzano, Carlos Renato Huaura, de Almeida Prado, Antonio Fernando Bertachini, Sukhanov, Alexander Alexandrovich (2009)
Mathematical Problems in Engineering
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Miličević, Kruno, Flegar, Ivan, Pelin, Denis (2009)
Mathematical Problems in Engineering
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M. Hejduk, P. Dohnal, P. Rubovišč, J. Varju, S Opanasiuk, R. Plašil, J. Glosík (2012)
Acta Universitatis Carolinae. Mathematica et Physica
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Duan, Q.J., Du, J.L., Duan, B.Y., Tang, A.F. (2010)
Mathematical Problems in Engineering
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Manevitch, L.I., Kovaleva, A.S., Manevitch, E.L. (2010)
Mathematical Problems in Engineering
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Jürgen Geiser (2012)
Open Mathematics
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We introduce a solver method for spatially dependent and nonlinear fluid transport. The motivation is from transport processes in porous media (e.g., waste disposal and chemical deposition processes). We analyze the coupled transport-reaction equation with mobile and immobile areas. The main idea is to apply transformation methods to spatial and nonlinear terms to obtain linear or nonlinear ordinary differential equations. Such differential equations can be simply solved with Laplace...