Taylor's series method for solving the nonlinear reaction-diffusion equation in the electroactive polymer film

摘要

In this paper, the nonlinear reaction-diffusion equation in the electroactive polymer film is solved analytically. This mathematical model describes a substrate to form a complex with the immobilized catalyst. We will apply the Taylor series method for an analytical approximation of the substrate in the electroactive polymer film. The obtained analytical solution is compared with the numerical results and found to be in satisfactory agreement. We compared present analytical expression with the previous result. The Taylor series method yields a rapidly convergent, easily computable, and readily verifiable sequence of analytic approximations that the convenient for parametric simulations.