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CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS |
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| Authors: | Xiao Feiyan Zhang Chengjian School of Mathematics Statistics Huazhong University of Science Technology Wuhan China |
| Institution: | School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China |
| Abstract: | This article deals with a class of numerical methods for retarded diffierential algebraic systems with time-variable delay.The methods can be viewed as a combination of Runge-Kutta methods and Lagrange interpolation.A new convergence concept,called DA-convergence,is introduced.The DA-convergence result for the methods is derived.At the end,a numerical example is given to verify the computational effiectiveness and the theoretical result. |
| Keywords: | convergence Runge-Kutta Methods Lagrange interpolation retarded differential algebraic systems |
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