An efficient wavelet based approximation method to steady state reaction-diffusion model arising in mathematical chemistry.

The mathematical model of Rahamathunissa and Rajendran (J Math Chem 44:849-861, 2008) in an amperometric biosensor response is discussed. In this paper, we have applied the shifted second kind Chebyshev wavelets (CW) to obtain the numerical solutions of reaction-diffusion equations containing a nonlinear term related to Michaelis-Menton kinetics of the enzymatic reaction. The application of the shifted second kind CW operational matrices for solving initial and boundary value problems is presented. The obtained numerical results demonstrate efficient and applicability of the proposed method. The power of the manageable method is confirmed. Moreover the use of shifted second kind CW method is found to be simple, efficient, accurate, small computation cost, and computationally attractive.