Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628217 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chengjian Zhang, Tingting Qin,