Numerical Study of Fisher’s Equation by Using Differential Quadrature Method
نویسنده
چکیده
Abstract In this paper, we study the numerical solutions of Fisher’s equation and to a nonlinear diffusion equation of the Fisher type by differential quadrature method. Fisher's equation combines diffusion with logistic nonlinearity. The equation occurs in logistic population growth models, neurophysiology and nuclear reactions. Therefore, numerical study of these types of equations is very important. In this work, differential quadrature method is discussed and applied on four examples of representing different types of Fisher's equations. Numerical results show the accuracy and utility of the differential quadrature method in solving such problems.
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