Determination of the non-linear reaction term in a coupled reaction-diffusion system
Arati Nanda, Purna C. Das · Numerical Functional Analysis and Optimization · 2000
In a reaction-diffusion model, the problem of determination of the reaction term is of immense importance. Sometimes the form of the reaction is assumed with certain unknown parameters which are later determined from experimental data. The aim of the present study is to propose an iterative method of determination of the reaction term in a general form without involving parameters and analyze the basic problem of convergence of the iterative process. The equations considered are coupled one dimensional react ion-diffusion system with nonlinear interactive terms along with initial conditions and boundarydata. The overspecified Dirichlet data are used for the determination of the reaction term.