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

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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.
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