Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations
We apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. By using initial values, accurate explicit analytic solutions have been derived. The method does not depend upon small parameters and provides us with a convenient way to opt...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/842121 |
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| _version_ | 1832551489139113984 |
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| author | Vasile Marinca Nicolae Herişanu |
| author_facet | Vasile Marinca Nicolae Herişanu |
| author_sort | Vasile Marinca |
| collection | DOAJ |
| description | We apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. By using initial values, accurate explicit analytic solutions have been derived. The method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement has been demonstrated between the obtained solutions and the numerical ones. This new approach, which can be easily applied to other strongly nonlinear problems, is very effective and yields very accurate results. |
| format | Article |
| id | doaj-art-c1166d43f87946e1bb146ae503ff4e16 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c1166d43f87946e1bb146ae503ff4e162025-02-03T06:01:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/842121842121Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra EquationsVasile Marinca0Nicolae Herişanu1Faculty of Mechanical Engineering, Polytehnic University of Timişoara, Mihai Viteazu Avenue 1, 300222 Timişoara, RomaniaFaculty of Mechanical Engineering, Polytehnic University of Timişoara, Mihai Viteazu Avenue 1, 300222 Timişoara, RomaniaWe apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. By using initial values, accurate explicit analytic solutions have been derived. The method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement has been demonstrated between the obtained solutions and the numerical ones. This new approach, which can be easily applied to other strongly nonlinear problems, is very effective and yields very accurate results.http://dx.doi.org/10.1155/2012/842121 |
| spellingShingle | Vasile Marinca Nicolae Herişanu Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations Discrete Dynamics in Nature and Society |
| title | Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations |
| title_full | Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations |
| title_fullStr | Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations |
| title_full_unstemmed | Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations |
| title_short | Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations |
| title_sort | optimal parametric iteration method for solving multispecies lotka volterra equations |
| url | http://dx.doi.org/10.1155/2012/842121 |
| work_keys_str_mv | AT vasilemarinca optimalparametriciterationmethodforsolvingmultispecieslotkavolterraequations AT nicolaeherisanu optimalparametriciterationmethodforsolvingmultispecieslotkavolterraequations |