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

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

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 <em>h</em>-curves and to find the optimal values of...

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Main Authors: K. M. Saad, O. S. Iyiola, P. Agarwal
Format: Article
Language:English
Published: AIMS Press 2018-03-01
Series:AIMS Mathematics
Subjects:
isothermal auto-catalytic| chemical system| homotopy analysis method| averaged residualerrors
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.1.183/fulltext.html
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spelling doaj-91fd41b4515745a5afbf8e3acc8d6f2d2020-11-24T21:08:08ZengAIMS PressAIMS Mathematics2473-69882018-03-013118319410.3934/Math.2018.1.183An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical systemK. M. SaadO. S. IyiolaP. AgarwalWe 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 <em>h</em>-curves and to find the optimal values of <em>h</em>, 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.http://www.aimspress.com/article/10.3934/Math.2018.1.183/fulltext.htmlisothermal auto-catalytic| chemical system| homotopy analysis method| averaged residualerrors
collection DOAJ
language English
format Article
sources DOAJ
author K. M. Saad
O. S. Iyiola
P. Agarwal
spellingShingle K. M. Saad
O. S. Iyiola
P. Agarwal
An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
AIMS Mathematics
isothermal auto-catalytic| chemical system| homotopy analysis method| averaged residualerrors
author_facet K. M. Saad
O. S. Iyiola
P. Agarwal
author_sort K. M. Saad
title An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
title_short An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
title_full An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
title_fullStr An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
title_full_unstemmed An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
title_sort effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2018-03-01
description 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 <em>h</em>-curves and to find the optimal values of <em>h</em>, 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.
topic isothermal auto-catalytic| chemical system| homotopy analysis method| averaged residualerrors
url http://www.aimspress.com/article/10.3934/Math.2018.1.183/fulltext.html
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AT osiyiola aneffectivehomotopyanalysismethodtosolvethecubicisothermalautocatalyticchemicalsystem
AT pagarwal aneffectivehomotopyanalysismethodtosolvethecubicisothermalautocatalyticchemicalsystem
AT kmsaad effectivehomotopyanalysismethodtosolvethecubicisothermalautocatalyticchemicalsystem
AT osiyiola effectivehomotopyanalysismethodtosolvethecubicisothermalautocatalyticchemicalsystem
AT pagarwal effectivehomotopyanalysismethodtosolvethecubicisothermalautocatalyticchemicalsystem
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