NUMERICAL SOLUTION OF A COMBUSTION MODEL WITH THERMAL CONDUCTIVITY AND REACTANT DIFFUSIVITY IN ARBITRARY DOMAINS USING THE VARIATIONAL ITERATION METHOD

NUMERICAL SOLUTION OF A COMBUSTION MODEL

Abstract

This paper presents the numerical solution of a combustion model with thermal conductivity and reactant diffusivity
in arbitrary domains using the Variational Iteration Method (VIM). The paper begins with a brief introduction of the
model and the basic idea of VIM. This is followed by the numerical solutions of the model and animated graphical
representation of the solutions. The result obtained demonstrates that the model is highly sensitive to initial
conditions, and its applicability is dependent on thermal conductivity and reactant diffusivity values. Computations
are carried out using Maple 18 software.