Solving a class of parabolic inverse problems

In this paper, we apply the Bernstein collocation method to solve the inverse reaction-diffusion problem. This method transforms the problem to a system of linear algebraic equations that easily solvable. Numerical example is considered aiming to demonstrate the validity and applicability of the proposed techniques

Keywords:

Bernstein polynomials , Parabolic inverse problems , Reaction-diffusion equation , Collocation method