Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations
This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/325364 |
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| _version_ | 1849307364943986688 |
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| author | Yuexin Yu Liping Wen |
| author_facet | Yuexin Yu Liping Wen |
| author_sort | Yuexin Yu |
| collection | DOAJ |
| description | This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results. |
| format | Article |
| id | doaj-art-28fa4f3b9bca4f3aa25982dbc6639ab0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-28fa4f3b9bca4f3aa25982dbc6639ab02025-08-20T03:54:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/325364325364Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential EquationsYuexin Yu0Liping Wen1Department of Mathematics, Xiangtan University, Xiangtan 411105, ChinaDepartment of Mathematics, Xiangtan University, Xiangtan 411105, ChinaThis paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs). The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs. Numerical tests are given to confirm the theoretical results.http://dx.doi.org/10.1155/2015/325364 |
| spellingShingle | Yuexin Yu Liping Wen Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations Discrete Dynamics in Nature and Society |
| title | Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations |
| title_full | Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations |
| title_fullStr | Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations |
| title_full_unstemmed | Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations |
| title_short | Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations |
| title_sort | stability analysis of one leg methods for nonlinear neutral delay integrodifferential equations |
| url | http://dx.doi.org/10.1155/2015/325364 |
| work_keys_str_mv | AT yuexinyu stabilityanalysisofonelegmethodsfornonlinearneutraldelayintegrodifferentialequations AT lipingwen stabilityanalysisofonelegmethodsfornonlinearneutraldelayintegrodifferentialequations |