Solution of the porous media equation by a compact finite difference method.
Sari, Murat (2009)
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Dehghan, Mehdi (2005)
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Frolkovič, P. (1998)
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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.
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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