Generalized Quasilinearization Method for Reaction Diffusion Equation with Numerical Applications

摘要

We have developed generalized quasilinearization method for reaction diffusion systems in [11], when the forcing functions are the sum of convex and concave functions. In this paper, we present theoretical result of the scalar case of reaction diffusion equation when the forcing function is the sum of a convex and concave function without proof. Further we demonstrate the application of the GQL method to reaction diffusion equation with numerical applications.