Опубликован 2022-10-30

PARTICULAR SOLUTIONS FOR THE GENERALIZED BURGERS-HUXLEY EQUATION BY THE FACTORIZATION METHOD

Аннотация


The article deals with numerical solutions of non-linear partial differential equations, such as the generalized Burgers-Huxley equations, which combine the effects of advection, diffusion, dispersion and non-linear transport. The Burgers-Huxley equation is solved numerically with the use of the factorization method, where a set of special solutions are obtained. It was shown that the factorization method is an efficient method with acceptable accuracy for solving the Burgers-Huxley equation

Как цитировать


Taylanov, N., Zokirov, M., & Urazov, A. (2022). PARTICULAR SOLUTIONS FOR THE GENERALIZED BURGERS-HUXLEY EQUATION BY THE FACTORIZATION METHOD. Физико-технологического образование, (5). извлечено от https://art.jdpu.uz/index.php/phys-tech/article/view/6559

Библиографические ссылки


Y.N. Kyrychko, M.V. Bartuccelli and K.B. Blyuss, Persistence of travelling wave solutions of a fourth order diffusion system, Journal of Computation and Applied Mathematics, 176 (2005) 433-443.

A.G. Bratsos, A fourth-order numerical scheme for solving the modified Burgers equation, Computers and Mathematics with Applications, 60 (2010) 1393-1400.

A.L. Hodgkin and A.F. Huxley, A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes, Journal of Physiology, 117 (1952) 500-544.

L.M. Berkovich, Factorization as a method of finding exact invariant solutions of the Kolmogorov-Petrovskii-Piskunov equation and the related Semenov and Zeldovich equations, Sov. Math. Dokl. 45 (1992) 162–167.

Авторы


Nizom Taylanov

Jizzakh State Pedagogical Institute

Mamajon Zokirov

Jizzakh State Pedagogical University

Abdixoliq Urazov

Jizzakh State Pedagogical University

Ключевые слова:

Burgers-Huxley equation, factorization method, nonlinear differential equations, modeling, traveling wave

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