The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations
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DOI：
10.1016/j.amc.2014.03.143
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发表时间：
2014-06
期刊：
影响因子：
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通讯作者：
Chengjian Zhang;T. Qin
中科院分区：
文献类型：
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作者：
Chengjian Zhang;T. Qin
本文将Runge-Kutta方法与复合求积规则相结合，给出了一类非线性泛函积分-微分方程组的混合Runge-Kutta方法。基于非经典的Lipschitz条件，给出了全局稳定性判据。数值实验表明了理论的适用性、方法的有效性以及混合Runge-Kutta方法与Pouzet-Runge-Kutta方法的区别。
In this paper, for a class of nonlinear functional-integro-differential equations, a type of mixed Runge–Kutta methods are presented by combining the underlying Runge–Kutta methods and the compound quadrature rules. Based on the non-classical Lipschitz condition, a global stability criterion is derived. Numerical experiments illustrate applicability of the theory, efficiency of the methods, and difference of the mixed Runge–Kutta methods from the Pouzet–Runge–Kutta methods.