In this paper, a constructed Green's function coupled with a fixed point iteration scheme will
be employed to solve nonlinear dynamical problems that arise in electroanalytical chemistry …

In this article, a carrier-mediated transport model is considered. The steady-state non-linear
diffusion equations were solved by two effective and accessible analytical methods, Akbari …

In this paper which is dedicated to Professor Richard Compton for his 65th birthday, we
examine the problem of describing the transport and kinetics of catalytic reactions in which …

In the present study, a theoretical model of a reaction–diffusion within an entrapped-cell
photobioreactor packed with gel-granules containing immobilized photosynthetic bacterial …

Several problems arising in science and engineering are modeled by differential equations
that involve conditions that are specified at more than one point. The non-linear two-point …

The aim of this paper is to find a general mathematical expression for amperometric enzyme
kinetics problems. The variational iteration method coupled with Padé approximation (VIM …

This paper demonstrates the approximate analytical solution to a non-linear singular two-
point boundary-value problem which describes oxygen diffusion in a planar cell. The model …

The mathematical modeling of nonlinear boundary value problems in catalytically chemical
reactor is discussed. In this paper, we obtain the approximate analytical solution and the …

Fractal modifications of Fick's laws are discussed by taking into account the electrode's
porous structure, and a fractal derivative model for diffusion-reaction process in a thin film of …

Theoretical analysis corresponding to the diffusion and reaction kinetics in a chemical
reaction between carbon dioxide and phenyl glycidyl ether solution is presented. Analytical …