Symmetry reductions and computational dynamics of a nonlinear reaction-diffusion problem with variable thermal conductivity

International Journal of Physical Sciences

O. D.Makinde¹ 

关键词: Symmetry reduction;    reaction-diffusion equation;    variable thermal conductivity;    shooting technique.;   

DOI  :  10.5897/IJPS10.549

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, the nonlinear model for the reaction-diffusion problem with variable thermal conductivity is investigated. It is assumed that the model source term is an arbitrary function of temperature. Classical symmetry is employed to analyze all forms of the source term for which the governing equation admits extra point symmetries. A number of symmetries are obtained and some reductions are performed. Usingthe fourth-order Runge-Kutta method with a shooting technique, numerical solution of a reduced boundary value problem is obtained. Pertinentresults are displayed graphically and discussed quantitatively.

【 授权许可】

CC BY