Analytical solution of system of differential equations by variational iteration method
In this paper, Varitational Iteration Method using He’s Polynomials is used to construct the exact as well as approximate solutions of differential equations. From the obtained numerical results, it has been observed that this proposed technique is very efficient and reliable for the solution of th...
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| Format: | Article |
| Language: | English |
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Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University
2015-12-01
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| Series: | Bibechana |
| Subjects: | |
| Online Access: | https://www.nepjol.info/index.php/BIBECHANA/article/view/13394 |
| _version_ | 1797193999856959488 |
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| author | Jamshad Ahmed Faizan Hussain |
| author_facet | Jamshad Ahmed Faizan Hussain |
| author_sort | Jamshad Ahmed |
| collection | DOAJ |
| description |
In this paper, Varitational Iteration Method using He’s Polynomials is used to construct the exact as well as approximate solutions of differential equations. From the obtained numerical results, it has been observed that this proposed technique is very efficient and reliable for the solution of the linear and non-linear system of differential equations. Numerical results and graphical representation reflect the accuracy and effectiveness of the proposed modification.
BIBECHANA 13 (2016) 77-86
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| first_indexed | 2024-04-24T05:49:19Z |
| format | Article |
| id | doaj.art-985b0869729b44918ea6d26f82542743 |
| institution | Directory Open Access Journal |
| issn | 2091-0762 2382-5340 |
| language | English |
| last_indexed | 2024-04-24T05:49:19Z |
| publishDate | 2015-12-01 |
| publisher | Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University |
| record_format | Article |
| series | Bibechana |
| spelling | doaj.art-985b0869729b44918ea6d26f825427432024-04-23T13:05:35ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402015-12-011310.3126/bibechana.v13i0.13394Analytical solution of system of differential equations by variational iteration methodJamshad Ahmed0Faizan Hussain1Department of Mathematics, Faculty of Sciences, University of GujratDepartment of Mathematics, University of Gujrat, (Sialkot Campus); Department of Mathematics, NCBA&E, Gujrat (Sub-Campus) In this paper, Varitational Iteration Method using He’s Polynomials is used to construct the exact as well as approximate solutions of differential equations. From the obtained numerical results, it has been observed that this proposed technique is very efficient and reliable for the solution of the linear and non-linear system of differential equations. Numerical results and graphical representation reflect the accuracy and effectiveness of the proposed modification. BIBECHANA 13 (2016) 77-86 https://www.nepjol.info/index.php/BIBECHANA/article/view/13394Variational interation methodHe’s PolynomialsSystem of Linear and non-linear differential equations |
| spellingShingle | Jamshad Ahmed Faizan Hussain Analytical solution of system of differential equations by variational iteration method Bibechana Variational interation method He’s Polynomials System of Linear and non-linear differential equations |
| title | Analytical solution of system of differential equations by variational iteration method |
| title_full | Analytical solution of system of differential equations by variational iteration method |
| title_fullStr | Analytical solution of system of differential equations by variational iteration method |
| title_full_unstemmed | Analytical solution of system of differential equations by variational iteration method |
| title_short | Analytical solution of system of differential equations by variational iteration method |
| title_sort | analytical solution of system of differential equations by variational iteration method |
| topic | Variational interation method He’s Polynomials System of Linear and non-linear differential equations |
| url | https://www.nepjol.info/index.php/BIBECHANA/article/view/13394 |
| work_keys_str_mv | AT jamshadahmed analyticalsolutionofsystemofdifferentialequationsbyvariationaliterationmethod AT faizanhussain analyticalsolutionofsystemofdifferentialequationsbyvariationaliterationmethod |