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Section B

On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model

Pages 1678-1688 | Received 01 Dec 2011, Accepted 30 Apr 2012, Published online: 29 May 2012

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Gang Dong, Zhichang Guo & Boying Wu. (2022) Image decomposition based on nonlinear reaction–diffusion systems. International Journal of Computer Mathematics 99:4, pages 737-758.
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J. E. Macías-Díaz & J. Villa-Morales. (2017) Finite-difference modeling à la Mickens of the distribution of the stopping time in a stochastic differential equation. Journal of Difference Equations and Applications 23:4, pages 799-820.
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J.E. Macías-Díaz. (2015) An integro-differential generalization and dynamically consistent discretizations of some hyperbolic models with nonlinear damping. International Journal of Computer Mathematics 92:10, pages 2109-2120.
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J.E. Macías-Díaz, R.E. Landry & A. Puri. (2014) A finite-difference scheme in the computational modelling of a coupled substrate-biomass system. International Journal of Computer Mathematics 91:10, pages 2199-2214.
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Articles from other publishers (7)

Nguyen Huu Nhan, Tran Trinh Manh Dung, Le Thi Mai Thanh, Le Thi Phuong Ngoc & Nguyen Thanh Long. (2021) A High-Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation and Numerical Results. Mathematical Problems in Engineering 2021, pages 1-17.
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Huifang Zhou, Zhiqiang Sheng & Guangwei Yuan. (2019) Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes. Computers & Mathematics with Applications 77:4, pages 1055-1070.
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Huifang Zhou, Zhiqiang Sheng & Guangwei Yuan. (2018) Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes. Applied Mathematics and Computation 336, pages 182-192.
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Xianping Li & Weizhang Huang. (2017) A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Applied Mathematics and Computation 309, pages 49-67.
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J.E. Macías-Díaz & J.A. Guerrero. (2017) A bounded linear integrator for some diffusive nonlinear time-dependent partial differential equations. Journal of Computational and Applied Mathematics 318, pages 515-528.
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J.E. Macías-Díaz & A.E. González. (2017) A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers–Fisher equation. Journal of Computational and Applied Mathematics 318, pages 604-615.
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J.E. Macías-Díaz. (2016) Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor β on cancer cells. Communications in Nonlinear Science and Numerical Simulation 40, pages 173-188.
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