The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
نویسنده
چکیده
also known as the diffusion equation, describes in typical applications of the evolution in time of the density u u x, t of some quantities such as heat and chemical concentration 1, page 44 . In this case, the thermal diffusivity and thermal conductivity of the medium are assumed to be constant. However, in some media such as gases, the parameters are proportional to the temperature of the medium giving rise to a nonlinear heat equation of the following form 2 :
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