Solution of the porous media equation by a compact finite difference method.
Sari, Murat (2009)
Mathematical Problems in Engineering
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Displaying similar documents to “Immersed interface method for a system of linear reaction-diffusion equations with nonlinear singular own sources”
Solution of the porous media equation by a compact finite difference method.
On the numerical solution of the one-dimensional convection-diffusion equation.
Dehghan, Mehdi (2005)
Mathematical Problems in Engineering
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Numerical solution of nonlinear diffusion with finite extinction phenomenon.
Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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A robust computational technique for a system of singularly perturbed reaction-diffusion equations
Vinod Kumar, Rajesh Bawa, Arvind Lal (2014)
International Journal of Applied Mathematics and Computer Science
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A robust computational technique for a system of singularly perturbed reaction-diffusion equations
Vinod Kumar, Rajesh Bawa, Arvind Lal (2014)
International Journal of Applied Mathematics and Computer Science
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On the numerical solution of the diffusion equation with a nonlocal boundary condition.
Dehghan, Mehdi (2003)
Mathematical Problems in Engineering
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Maximum principle and local mass balance for numerical solutions of transport equation coupled with variable density flow.
Frolkovič, P. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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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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Determination of an unknown parameter in a semi-linear parabolic equation.
Dehghan, Mehdi (2002)
Mathematical Problems in Engineering
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An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection
Josef Dalík, Helena Růžičková (1995)
Applications of Mathematics
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We describe a numerical method for the equation in with Dirichlet boundary and initial conditions which is a combination of the method of characteristics and the finite-difference method. We prove both an a priori local error-estimate of a high order and stability. Example 3.3 indicates that our approximate solutions are disturbed only by a minimal amount of the artificial diffusion.
Convergence of a mimetic finite difference method for static diffusion equation.
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow
Vít Dolejší, Miloslav Feistauer, Christoph Schwab (2002)
Mathematica Bohemica
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The paper is concerned with the discontinuous Galerkin finite element method for the numerical solution of nonlinear conservation laws and nonlinear convection-diffusion problems with emphasis on applications to the simulation of compressible flows. We discuss two versions of this method: (a) Finite volume discontinuous Galerkin method, which is a generalization of the combined finite volume—finite element method. Its advantage is the use of only one mesh (in contrast to the combined...