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

K. M. Saad O. S. Iyiola P. Agarwal

*Corresponding author: P. Agarwal goyal.praveen2011@gmail.com

Math2018,1,183doi:10.3934/Math.2018.1.183

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.

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