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Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations 被引量:4

Stability analysis of Runge-Kutta methods for nonlinear neutral delay integro-differential equations
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摘要 The sufficient conditions for the stability and asymptotic stability of Runge-Kutta methods for nonlinear neutral delay integro-differential equations are derived. A numerical test that confirms the theoretical results is given in the end. The sufficient conditions for the stability and asymptotic stability of Runge-Kutta methods for nonlinear neutral delay integro-differential equations are derived. A numerical test that confirms the theoretical results is given in the end.
出处 《Science China Mathematics》 SCIE 2007年第4期464-474,共11页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China (Grant Nos.10271100 and 10571147)
关键词 NEUTRAL delay integro-differential EQUATIONS RUNGE-KUTTA methods STABILITY ASYMPTOTIC STABILITY neutral delay integro-differential equations Runge-Kutta methods stability asymptotic stability 65L05 65L20
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  • 1H.J.Tian,J-X.Kuang(Department of Mathematics, Shanghai Normal University, Shanghai, China).THE STABILITY ANALYSIS OF THE θ-METHODS FOR DELAY DIFFERENTIAL EQUMIONS[J].Journal of Computational Mathematics,1996,14(3):203-212. 被引量:10
  • 2M. Zennaro.Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations[J].Numerische Mathematik.1997(4)
  • 3Torelli,L.Stability of numerical methods for delay differential equations, J[].Computational and Applied Mathematics.1989
  • 4Li,S. E,Ruan,B. G.Nonlinear stability of multistep multiderivative methods, Math[].Computer.1990
  • 5Zennaro,M.Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations, Numer[].Mathematica Journal.1997

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