| 一个非线性微分积分方程的差分解的存在性和收敛性 |
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| 引用本文： | 朱景辉. 一个非线性微分积分方程的差分解的存在性和收敛性[J]. 厦门大学学报(自然科学版), 1996, 35(1): 21-25 |
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| 作者姓名： | 朱景辉 |
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| 摘 要： | 讨论一个非线性微分积分方程的初边值问题的差分方法，给出求解格式，应用Ｌｅｒａｇ－Ｓｃｈａｕｄｅｒ定理证明了差分解的收敛性，用Ｇｒｏｎｗａｌｌ不等式证明了差分解的收敛性，得到的收敛阶是Ｏ（τ２＋ｈ２）．
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| 关 键 词： | 非线性微分积分方程，收敛性，差分格式 |
The Existence and Convergergence of A Finite Difference Solution for A Nonlinear Partial Integro-Differential Equation |
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| Zhu Jinghui. The Existence and Convergergence of A Finite Difference Solution for A Nonlinear Partial Integro-Differential Equation[J]. Journal of Xiamen University(Natural Science), 1996, 35(1): 21-25 |
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| Authors: | Zhu Jinghui |
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| Affiliation: | Dept. of Math. |
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| Abstract: | A difference scheme for a nonlinear partial integro-differential equation is discussed the existence and convergence of the numerical solution are proved the convergent rate obtained is second-order in both time and space |
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| Keywords: | Partial intergro-differential equation Difference scheme convergence |
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