The mixed Runge–Kutta methods for a class of nonlinear functional-integro-differential equations

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摘要

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.

论文关键词:Functional-integro-differential equations,Mixed Runge–Kutta methods,Global stability,Numerical experiments

论文评审过程:Available online 19 April 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.03.143