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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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2020-04-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://www.ijmems.in/volumes/volume5/number2/22-IJMEMS-19-520-52-272-282-2020.pdf |
| _version_ | 1818765574741688320 |
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| author | Ankita Sharma Rajan Arora |
| author_facet | Ankita Sharma Rajan Arora |
| author_sort | Ankita Sharma |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-18T08:20:16Z |
| format | Article |
| id | doaj.art-9a87cd1e2d2343c29b3d77877973570c |
| institution | Directory Open Access Journal |
| issn | 2455-7749 2455-7749 |
| language | English |
| last_indexed | 2024-12-18T08:20:16Z |
| publishDate | 2020-04-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-9a87cd1e2d2343c29b3d77877973570c2022-12-21T21:14:45ZengRam Arti PublishersInternational 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 |
| 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 |
| title | 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_short | 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 |
| 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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