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

Авторы

  • Nizom Taylanov Jizzakh State Pedagogical Institute
  • Джизакский Государственный Педагогический Университет image/svg+xml
  • Джизакский Государственный Педагогический Университет image/svg+xml

Ключевые слова:

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

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

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.

Опубликован

2022-10-30

Как цитировать

PARTICULAR SOLUTIONS FOR THE GENERALIZED BURGERS-HUXLEY EQUATION BY THE FACTORIZATION METHOD. (2022). Физико-технологического образование, 5. https://presedu.jdpu.uz/index.php/phys-tech/article/view/6559

Похожие статьи

1-10 из 22

Вы также можете начать расширеннвй поиск похожих статей для этой статьи.

Наиболее читаемые статьи этого автора (авторов)

1 2 3 4 > >>