Stability analysis of Runge-Kutta methods for nonlinear delay-integro-differential-algebraic equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913993544695808 |
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| author | Wang, Gehao Yu, Yuexin |
| author_facet | Wang, Gehao Yu, Yuexin |
| contents | This paper is devoted to examining the stability of Runge-Kutta methods for solving nonlinear Volterra delay-integro-differential-algebraic equations (DIDAEs) with constant delay. Hybrid numerical schemes combining Runge-Kutta methods and compound quadrature rules are analyzed for nonlinear DIDAEs. Criteria for ensuring the global and asymptotic stability of the proposed schemes are established. Several numerical examples are provided to validate the theoretical findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis of Runge-Kutta methods for nonlinear delay-integro-differential-algebraic equations Wang, Gehao Yu, Yuexin Numerical Analysis This paper is devoted to examining the stability of Runge-Kutta methods for solving nonlinear Volterra delay-integro-differential-algebraic equations (DIDAEs) with constant delay. Hybrid numerical schemes combining Runge-Kutta methods and compound quadrature rules are analyzed for nonlinear DIDAEs. Criteria for ensuring the global and asymptotic stability of the proposed schemes are established. Several numerical examples are provided to validate the theoretical findings. |
| title | Stability analysis of Runge-Kutta methods for nonlinear delay-integro-differential-algebraic equations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2504.00330 |