7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method

7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method

In this paper, we first describe the methodology of the Homotopy Analysis Method (HAM) which is an analytical technique and then employ it to some of the non-linear problems which are used in different fields of sciences like plasma physics, fluid dynamics, laser optics, biology, chemical kinetics,...

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Main Authors: Ankita Sharma, Rajan Arora
Format: Article
Language:English
Published: International Journal of Mathematical, Engineering and Management Sciences 2020-04-01
Series:International Journal of Mathematical, Engineering and Management Sciences
Subjects:
homotopy analysis method
7th -order caudrey-dodd-gibbon equation
fisher-type equation
Online Access:https://www.ijmems.in/volumes/volume5/number2/22-IJMEMS-19-520-52-272-282-2020.pdf
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spelling doaj-9a87cd1e2d2343c29b3d77877973570c2020-11-25T02:36:52ZengInternational Journal of Mathematical, Engineering and Management SciencesInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492020-04-015227228210.33889/IJMEMS.2020.5.2.0227th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis MethodAnkita Sharma0Rajan Arora1Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Saharanpur Campus, Saharanpur, India.Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Saharanpur Campus, Saharanpur, India.In this paper, we first describe the methodology of the Homotopy Analysis Method (HAM) which is an analytical technique and then employ it to some of the non-linear problems which are used in different fields of sciences like plasma physics, fluid dynamics, laser optics, biology, chemical kinetics, nucleation kinetics, physiology, etc. Approximate series solutions have been obtained and the results are compared with the closed form solutions of the equations, which show that this technique gives high accurate results. HAM is a reliable technique, easy to use and is widely applicable to a large class of non-linear differential equations. MATHEMATICA software package has been used for computations.https://www.ijmems.in/volumes/volume5/number2/22-IJMEMS-19-520-52-272-282-2020.pdfhomotopy analysis method7th -order caudrey-dodd-gibbon equationfisher-type equation
collection DOAJ
language English
format Article
sources DOAJ
author Ankita Sharma
Rajan Arora
spellingShingle Ankita Sharma
Rajan Arora
7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
International Journal of Mathematical, Engineering and Management Sciences
homotopy analysis method
7th -order caudrey-dodd-gibbon equation
fisher-type equation
author_facet Ankita Sharma
Rajan Arora
author_sort Ankita Sharma
title 7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
title_short 7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
title_full 7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
title_fullStr 7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
title_full_unstemmed 7th -Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method
title_sort 7th -order caudrey-dodd-gibbon equation and fisher-type equation by homotopy analysis method
publisher International Journal of Mathematical, Engineering and Management Sciences
series International Journal of Mathematical, Engineering and Management Sciences
issn 2455-7749
2455-7749
publishDate 2020-04-01
description In this paper, we first describe the methodology of the Homotopy Analysis Method (HAM) which is an analytical technique and then employ it to some of the non-linear problems which are used in different fields of sciences like plasma physics, fluid dynamics, laser optics, biology, chemical kinetics, nucleation kinetics, physiology, etc. Approximate series solutions have been obtained and the results are compared with the closed form solutions of the equations, which show that this technique gives high accurate results. HAM is a reliable technique, easy to use and is widely applicable to a large class of non-linear differential equations. MATHEMATICA software package has been used for computations.
topic homotopy analysis method
7th -order caudrey-dodd-gibbon equation
fisher-type equation
url https://www.ijmems.in/volumes/volume5/number2/22-IJMEMS-19-520-52-272-282-2020.pdf
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AT rajanarora 7thordercaudreydoddgibbonequationandfishertypeequationbyhomotopyanalysismethod
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