| 弱奇异时滞Volterra积分方程雅可比收敛分析 |
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| 引用本文： | 郑伟珊.弱奇异时滞Volterra积分方程雅可比收敛分析[J].计算数学,2021,43(2):253-260. |
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| 作者姓名： | 郑伟珊 |
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| 作者单位： | 韩山师范学院数学与统计学院, 潮州 521041 |
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| 基金项目： | 国家自然科学基金项目（11626074）、广东省自然科学基金项目（2017A030307020）和韩山师范学院项目（HJG1629、2017HJGJCJY009）资助. |
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| 摘 要： | 本文利用雅可比谱配置方法研究弱奇异时滞Volterra积分方程，分别得到真解与近似解在$L^{\infty}$和$L^2_{\omega^{-\mu，0}}$ 范数意义下呈现指数收敛的结论，数值仿真结果验证理论分析的正确性.
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| 关 键 词： | Volterra积分方程 弱奇异 时滞 雅可比收敛分析 |
| 收稿时间： | 2020-01-22 |
JACOBI CONVERGENCE ANALYSIS FOR DELAY VOLTERRA INTEGRAL EQUATION WITH WEAK SINGULARITY |
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| Zheng Weishan.JACOBI CONVERGENCE ANALYSIS FOR DELAY VOLTERRA INTEGRAL EQUATION WITH WEAK SINGULARITY[J].Mathematica Numerica Sinica,2021,43(2):253-260. |
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| Authors: | Zheng Weishan |
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| Institution: | College of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China |
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| Abstract: | In this paper, Jacobi spectral method is employed to analysis the convergence of weak singular Volterra integral equation with delay. The conclusion is that the numerical error decay exponentially in the $L^{\infty}$ space and $L^2_{\omega^{-\mu,0}}$ space. In the end, numerical examples are given to confirm the theoretical result. |
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| Keywords: | Volterra integral equation weak singularity delay Jacobi convergence analysis |
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