A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation.
Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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Displaying similar documents to “Numerical solutions of nonstandard first order initial value problems.”
A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation.
Solution of the porous media equation by a compact finite difference method.
Sari, Murat (2009)
Mathematical Problems in Engineering
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A parameter robust method for singularly perturbed delay differential equations.
Erdogan, Fevzi (2010)
Journal of Inequalities and Applications [electronic only]
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Finite difference approximations for a class of nonlocal parabolic equations.
Lin, Yanping, Xu, Shuzhan, Yin, Hong-Ming (1997)
International Journal of Mathematics and Mathematical Sciences
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High-order compact implicit difference methods for parabolic equations in geodynamo simulation.
Liu, Don, Kuang, Weijia, Tangborn, Andrew (2009)
Advances in Mathematical Physics
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An exponentially fitted method for singularly perturbed delay differential equations.
Erdogan, Fevzi (2009)
Advances in Difference Equations [electronic only]
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Numerical experiments with different schemes for a singularly perturbed problem.
Herceg, Dragoslav, Surla, Katarina, Radeka, Ivana, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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New schemes for a two-dimensional inverse problem with temperature overspecification.
Dehghan, Mehdi (2001)
Mathematical Problems in Engineering
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Numerical schemes for a three component Cahn-Hilliard model
Franck Boyer, Sebastian Minjeaud (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article, we investigate numerical schemes for solving a three component Cahn-Hilliard model. The space discretization is performed by using a Galerkin formulation and the finite element method. Concerning the time discretization, the main difficulty is to write a scheme ensuring, at the discrete level, the decrease of the free energy and thus the stability of the method. We study three different schemes and prove existence and convergence theorems. Theoretical results are illustrated...
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics.
Villanueva, Rafael J., Arenas, Abraham J., González-Parra, Gilberto (2008)
Journal of Applied Mathematics
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On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems
Carlos Parés, Manuel Castro (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys. 102 (1992) 360–373]. Next, this general theory is applied to obtain...