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Journal of Difference Equations and Applications Volume 26, 2020 - Issue 9-10
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Articles

An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation

Amit Kumar VermaDepartment of Mathematics, Indian Institute of Technology Patna, Patna, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-8768-094X
ORCID Icon &
Sheerin KayenatDepartment of Mathematics, Indian Institute of Technology Patna, Patna, India
Pages 1213-1246 | Received 11 Nov 2019, Accepted 13 Aug 2020, Published online: 17 Sep 2020

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Sheerin Kayenat & Amit K. Verma. (2022) On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations. Journal of Difference Equations and Applications 28:7, pages 946-970.
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W. D. Qin, Z. Y. Man, X. H. Ding & S. Z. Lu. (2021) A class of nonstandard finite difference methods for the Burgers–Huxley equation. Journal of Difference Equations and Applications 27:9, pages 1373-1394.
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Articles from other publishers (10)

Tayyaba Akram, Azhar Iqbal, Poom Kumam & Thana Sutthibutpong. (2023) A newly constructed numerical approximation and analysis of Generalized fractional Burger-Huxley equation using higher order method. Results in Physics 54, pages 107119.
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Sıla Övgü Korkut. (2023) An accurate and efficient numerical solution for the generalized Burgers–Huxley equation via Taylor wavelets method: Qualitative analyses and Applications. Mathematics and Computers in Simulation 209, pages 324-341.
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Mahmoud Saleh, Endre Kovács, Imre Ferenc Barna & László Mátyás. (2022) New Analytical Results and Comparison of 14 Numerical Schemes for the Diffusion Equation with Space-Dependent Diffusion Coefficient. Mathematics 10:15, pages 2813.
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SHEERIN KAYENAT & AMIT K VERMA. (2022) NSFD schemes for a class of nonlinear generalised advection–diffusion–reaction equation. Pramana 96:1.
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Mukesh Kumar Rawani, Lajja Verma, Amit Kumar Verma & Ravi P. Agarwal. (2021) On a weakly L ‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations . Mathematical Methods in the Applied Sciences 45:3, pages 1276-1298.
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Appanah R. Appadu & Yusuf O. Tijani. (2022) 1D Generalised Burgers-Huxley: Proposed Solutions Revisited and Numerical Solution Using FTCS and NSFD Methods. Frontiers in Applied Mathematics and Statistics 7.
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Humam Kareem Jalghaf, Endre Kovács, János Majár, Ádám Nagy & Ali Habeeb Askar. (2021) Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations. Mathematics 9:24, pages 3308.
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Arbaz Khan, Manil T. Mohan & Ricardo Ruiz-Baier. (2021) Conforming, Nonconforming and DG Methods for the Stationary Generalized Burgers-Huxley Equation. Journal of Scientific Computing 88:3.
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KANG-JIA WANG. (2021) VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE GENERALIZED BURGERS–HUXLEY EQUATION WITH FRACTAL DERIVATIVE. Fractals 29:02, pages 2150044.
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Sandra Vaz & Delfim F. M. Torres. (2021) A dynamically-consistent nonstandard finite difference scheme for the SICA model. Mathematical Biosciences and Engineering 18:4, pages 4552-4571.
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