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International Journal of Computer Mathematics Volume 91, 2014 - Issue 10
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Section B

A finite-difference scheme in the computational modelling of a coupled substrate-biomass system

J.E. Macías-DíazDepartamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes, Ags.20131MexicoCorrespondence[email protected]
,
R.E. LandryDepartment of Physics, University of New Orleans, 2000 Lakeshore Drive, New Orleans, LA70148, USA
&
A. PuriDepartment of Physics, University of New Orleans, 2000 Lakeshore Drive, New Orleans, LA70148, USA
Pages 2199-2214 | Received 25 Sep 2013, Accepted 22 Nov 2013, Published online: 26 Mar 2014

Citations (11)

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Jorge Eduardo Macías-Díaz & Bilge İnan. (2019) Numerical efficiency of some exponential methods for an advection–diffusion equation. International Journal of Computer Mathematics 96:5, pages 1005-1029.
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Articles from other publishers (10)

Hermann Eberl. 2024. Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations. Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations 61 73 .
Farhan Khan, Mudassar Abbas, Jorge E. Macías-Díaz, Muhammad Bilal Khan & Safar M. Alghamdi. (2022) Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells. International Journal of Biomathematics 16:03.
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Yusuf Olatunji Tijani, Appanah Rao Appadu & Adebayo Abiodun Aderogba. (2021) Some Finite Difference Methods to Model Biofilm Growth and Decay: Classical and Non-Standard. Computation 9:11, pages 123.
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S. O. Gladkov. (2021) On the Question of Self-Organization of Population Dynamics on Earth. Biophysics 66:5, pages 858-866.
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Jorge E. Macías-Díaz, Nauman Ahmed & Muhammad Rafiq. (2019) Analysis and Nonstandard Numerical Design of a Discrete Three-Dimensional Hepatitis B Epidemic Model. Mathematics 7:12, pages 1157.
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L. A. Flores-Oropeza, A. Román-Loera & Ahmed S. Hendy. (2019) A bounded and monotone finite-difference solution of a hyperbolic Burgers–Fisher equation. International Journal of Modern Physics C 29:12, pages 1850122.
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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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Jorge E. Macías-Díaz, Iliana E. Medina-Ramírez & Axel Chávez-Guzmán. (2016) A compact exponential method for the efficient numerical simulation of the dewetting process of viscous thin films. Journal of Mathematical Chemistry 55:1, pages 153-174.
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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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