A simple analytical approach to a nonlinear equation arising in porous catalyst

Abstract

Purpose

Analytical methods are widely used in heat and fluid flow; the purpose of this paper is to couple Taylor series method and Bubbfil algorithm to solve nonlinear differential equations.

Design/methodology/approach

A series solution is obtained with some unknown constants, which can be determined by incorporating boundary conditions, and the constants are calculated by the Bubbfil algorithm.

Findings

This paper gives an analytical approach to a nonlinear equation arising in porous catalyst using Taylor series and Bubbfil algorithm, and a high accuracy can be achieved.

Research limitations/implications

The coupled method of Taylor series and Bubbfil algorithm is a powerful method for nonlinear differential equations.

Practical implications

The proposed technology can be used in various numerical methods.

Originality/value

A new analytical method is proposed based on Taylor series and Bubbfil algorithm, which is a development of Newton’s iteration method and an ancient Chinese algorithm. The solution process is simple and easy to follow.

Citation

He, C.-H. (2017), "A simple analytical approach to a nonlinear equation arising in porous catalyst", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 4, pp. 861-866. https://doi.org/10.1108/HFF-03-2016-0129