CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS

doi:10.1016/S0252-9602(10)60023-9

Abstract

Abstract:

This article deals with a class of numerical methods for retarded differential 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 $D_A$-convergence, is introduced. The D_A-convergence result for the methods is derived. At the end, a numerical example is given to verify the computational effectiveness and the theoretical result.

Key words: convergence, Runge-Kutta Methods, Lagrange interpolation, , retarded differential algebraic systems

CLC Number:

65L05

XIAO Fei-Yan, ZHANG Cheng-Jian. CONVERGENCE ANALYSIS OF RUNGE-KUTTA METHODS FOR A CLASS OF RETARDED DIFFERENTIAL ALGEBRAIC SYSTEMS[J].Acta mathematica scientia,Series B, 2010, 30(1): 65-74.

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