AIMS Mathematics, 2018, 3(1): 183-194. doi: 10.3934/Math.2018.1.183

Research article

Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system

1 Department of Mathematics, Faculty of Arts and Sciences, Najran, Najran University, Saudi Arabia
2 Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz, Yemen
3 Department of Mathematical Sciences, Minnesota State University Moorhead, MN USA
4 Department of Mathematical, Anand International College of Engineering, Jaipur-303012, India
5 Center for Basic and Applied Sciences, Jaipur-302029, India

We established an effective algorithm for the homotopy analysis method (HAM) to solve acubic isothermal auto-catalytic chemical system (CIACS). Our solution comes in a rapidly convergentseries where the intervals of convergence given by h-curves and to find the optimal values of h, weused the averaged residual errors. The HAM solutions are compared with the solutions obtained by Mathematica in-built numerical solver. We also show the behavior of the HAM solution.
  Article Metrics
Download full text in PDF

Export Citation

Article outline

Copyright © AIMS Press All Rights Reserved