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. Using the fourth-order Runge-Kutta method with a shooting technique, numerical solution of a reduced boundary value problem is obtained. Pertinent results are displayed graphically and discussed quantitatively.
Key words: Symmetry reduction, reaction-diffusion equation, variable thermal conductivity, shooting technique.
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