Non-Standard Finite Difference Scheme for the Kinetics of Pentaerythritol Production Reactions

Abstract

Pentaerythritol plays very crucial role in the preparation of many polyfunctionalized compounds such as explosives, dyes, paints and surface coatings. Estimation of numerical solutions of kinetics of pentaerythritol production reactions has been an important issue. The kinetic model of this reacting system has been converted into system of ordinary differential equations. In this paper, the obtained system of ordinary differential equations describing the kinetics ofpentaerythritol has been solved numerically by using non-standard finite difference method and semi analytical scheme 'differential transform method'. Sometime experimental data is not easily available, for such case we have estimated solutions for reaction parameters using NSFD and DTM. Obtained results are approximately same as experimental data. Results obtained from these techniques have been compared with each other and also with the experimental data. Keywords-Pentaerythritol, Polyfunctionalized, Differential Transform Method, Non Standard Finite Difference Method.