Approximation theorems of a solution of amperometric enzymatic reactions based on Green’s fixed point normal-S iteration

Abstract

Abstract In this paper, the authors present a strategy based on fixed point iterative methods to solve a nonlinear dynamical problem in a form of Green’s function with boundary value problems. First, the authors construct the sequence named Green’s normal-S iteration to show that the sequence converges strongly to a fixed point, this sequence was constructed based on the kinetics of the amperometric enzyme problem. Finally, the authors show numerical examples to analyze the solution of that problem.

Keywords

• Fixed point iteration
• Green’s function
• Enzymatic reaction
• Boundary value problems