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Original Articles

An efficient implementation of a numerical method for a chemotaxis system

Pages 219-235 | Received 07 Sep 2007, Accepted 07 Dec 2007, Published online: 05 Dec 2008

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J. E. Macías-Díaz. (2012) On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model. International Journal of Computer Mathematics 89:12, pages 1678-1688.
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J. E. Macías-Díaz & A. Puri. (2011) On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity. International Journal of Computer Mathematics 88:15, pages 3308-3323.
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J. Ruiz-Ramírez & J. E. Macías-Díaz. (2011) A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation. International Journal of Computer Mathematics 88:15, pages 3186-3201.
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Articles from other publishers (5)

Mehdi Dehghan & Vahid Mohammadi. (2020) The boundary knot method for the solution of two-dimensional advection reaction-diffusion and Brusselator equations. International Journal of Numerical Methods for Heat & Fluid Flow 31:1, pages 106-133.
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Mehdi Dehghan & Niusha Narimani. (2018) Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction–diffusion equation. Computational and Applied Mathematics 37:5, pages 6955-6971.
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J. Ruiz-Ramírez & J.E. Macías-Díaz. (2013) A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection–diffusion–reaction equation. Journal of Computational and Applied Mathematics 250, pages 256-269.
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Scott A. Sarra. (2012) A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains. Applied Mathematics and Computation 218:19, pages 9853-9865.
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J.E. Macías-Díaz, J. Ruiz-Ramírez & J. Villa. (2011) The numerical solution of a generalized Burgers–Huxley equation through a conditionally bounded and symmetry-preserving method. Computers & Mathematics with Applications 61:11, pages 3330-3342.
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