Determination of an unknown parameter in a semi-linear parabolic equation.
Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Stéphane Flotron, Jacques Rappaz (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energy for a heat equation or the total mass of a solute in a fluid for a concentration equation, even if the approximation of the velocity field is not completely divergence-free. We establish a priori errror estimates for this scheme and...
Patricia Cargo, Gérald Samba (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the model to approximate the time dependent transport equation in one dimension of space. In a diffusive regime, the solution of this system is solution of a diffusion equation. We are looking for a numerical scheme having the diffusion limit property: in a diffusive regime, it has to give the solution of the limiting diffusion equation on a mesh at the diffusion scale. The numerical scheme proposed is an extension of the Godunov type scheme proposed by...
Dehghan, Mehdi (2001)
Mathematical Problems in Engineering
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J. D. Kandilarov (2007)
Kragujevac Journal of Mathematics
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Jürgen Geiser (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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Our studies are motivated by a desire to model long-time simulations of possible scenarios for a waste disposal. Numerical methods are developed for solving the arising systems of convection-diffusion-dispersion-reaction equations, and the received results of several discretization methods are presented. We concentrate on linear reaction systems, which can be solved analytically. In the numerical methods, we use large time-steps to achieve long simulation times of about 10 000 years. We...
Boyadzhiev, Doychin, Pelovska, Galena (2011)
Union of Bulgarian Mathematicians
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Дойчин Бояджиев, Галена Пеловска - В статията се предлага оптимизиран алгоритъм, който е по-бърз в сравнение с по- рано описаната ускорена (модифицирана STS) диференчна схема за възрастово структуриран популационен модел с дифузия. Запазвайки апроксимацията на модифицирания STS алгоритъм, изчислителното времето се намаля почти два пъти. Това прави оптимизирания метод по-предпочитан за задачи с нелинейност или с по-висока размерност. In this paper we propose an optimized...
Sari, Murat (2009)
Mathematical Problems in Engineering
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Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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Eberl, Hermann J., Demaret, Laurent (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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