Numerical Investigation one System Reaction-Diffusion with Double Nonlineari
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Кілттік сөздер:
reaction, diffusion, self-similar, asymptotic, compactly supported solutions, free boundary, numerical computation visualizationАннотация
In this paper we demonstrate the possibilities of the self-similar and approximately
self-similar approaches for studying solutions of a nonlinear mutual reaction-diffusion system. The
asymptotic behaviour of compactly supported solutions and free boundary is studied. Based on
established qualitative properties of solutions numerical computation is carried out. The solutions
are presented in visualization form with animation, which allows observing evolution of the studied
process in time.
Библиографиялық сілтемелер
1. Samarskii A.A., Galaktionov V.A., Kurdyumov S.P., Mikhajlov A.P.: Blow-up in quasilinear parabolic
equations, Berlin, 4, Walter de Grueter, (1995).
2. Aripov M.: Method of the standard equation for the solution of the nonlinear value problem, Tashkent, Fan,
137 p, (1988).
3. Aripov M.: Asymptotic of the Solution of the Non-Newton Polytropical Filtration Equation, ZAMM, vol. 80,
suppl. 3, 767-768 (2000).
4. Aripov M., Sadullaeva Sh.A.: To properties of solutions to reaction-diffusion equation with double nonlinearity
with distributed parameters, J. Sib. Fed. Univ. Math. Phys., 6,2, 157-167(2013) .
5. Aripov M., Sadullaeva Sh.A.: To solutions of one nondivergent type parabolic equation with double nonlinearity.
Advances and Progress in Analysis, 12-18, (2010).
6. Dimova S.N., Kastchiev M.S., Koleva M.G., Vasileva D.P.: Numerical analysis of the blow-up regimes
of combustion of two-component nonlinear heat-conducting medium. Journal of applied mathematics and
mathematical physics 35, no.3, 303-319, (1995).
7. Kersner R., Reyes J., Tesei A.: One a class of nonlinear parabolic equations with variable density and absorption
advances. Diff. Equations 7(2002), 155-176.
8. Kombe I.: Double nonlinear parabolic equations with singular lower order term. Nonlinear Analysis 56, 185-199,
(2004).
equations, Berlin, 4, Walter de Grueter, (1995).
2. Aripov M.: Method of the standard equation for the solution of the nonlinear value problem, Tashkent, Fan,
137 p, (1988).
3. Aripov M.: Asymptotic of the Solution of the Non-Newton Polytropical Filtration Equation, ZAMM, vol. 80,
suppl. 3, 767-768 (2000).
4. Aripov M., Sadullaeva Sh.A.: To properties of solutions to reaction-diffusion equation with double nonlinearity
with distributed parameters, J. Sib. Fed. Univ. Math. Phys., 6,2, 157-167(2013) .
5. Aripov M., Sadullaeva Sh.A.: To solutions of one nondivergent type parabolic equation with double nonlinearity.
Advances and Progress in Analysis, 12-18, (2010).
6. Dimova S.N., Kastchiev M.S., Koleva M.G., Vasileva D.P.: Numerical analysis of the blow-up regimes
of combustion of two-component nonlinear heat-conducting medium. Journal of applied mathematics and
mathematical physics 35, no.3, 303-319, (1995).
7. Kersner R., Reyes J., Tesei A.: One a class of nonlinear parabolic equations with variable density and absorption
advances. Diff. Equations 7(2002), 155-176.
8. Kombe I.: Double nonlinear parabolic equations with singular lower order term. Nonlinear Analysis 56, 185-199,
(2004).
Жүктелулер
Как цитировать
Sadullaeva, S. A., & Pardaeva, G. (2018). Numerical Investigation one System Reaction-Diffusion with Double Nonlineari. Қазұу Хабаршысы. Математика, механика, информатика сериясы, 86(3), 58–62. вилучено із https://bm.kaznu.kz/index.php/kaznu/article/view/412
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