RUNGE-KUTTA_METHODS

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  • 期刊=Acta Mathematicae Applicatae Sinicax
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Adapted Runge-Kutta Methods for Nonlinear First-Order Delay BVPs with Time-variable Delay
《Acta Mathematicae Applicatae Sinica》2025年第2期400-413,共14页Cheng-jian ZHANG Yang WANG Hao HAN 
supported by the National Natural Science Foundation of China(Grant No.12471379).
This paper deals with numerical solutions for nonlinear first-order boundary value problems(BVPs)with time-variable delay.For solving this kind of delay BVPs,by combining Runge-Kutta methods with Lagrange interpolatio...
关键词：delay boundary value problems adapted Runge-Kutta method Lagrange interpolation error analysis global stability 
Oscillation of Numerical Solution in the Runge-Kutta Methods for Equation x'(t)=ax(t)+a_0x([t])
《Acta Mathematicae Applicatae Sinica》2014年第4期943-950,共8页Qi WANG Shen-shan QIU 
Supported by the National Natural Science Foundation of China(No.11201084);the State Scholarship Fund grant[2013]3018 from the China Scholarship Council
The paper de ls with oscillation of Runge-Kutta methods for equation x＇（t） = ax（t） ＋ aox（[t]）. The conditions of oscillation for the numerical methods are presented by considering the characteristic equation o...
关键词：piecewise continuous arguments Runge-Kutta methods stablity OSCILLATION 
Dissipativity of Multistep Runge-Kutta Methods for Nonlinear Volterra Delay-integro-differential Equations被引量：4
《Acta Mathematicae Applicatae Sinica》2012年第2期225-236,共12页Rui QI Cheng-jian ZHANG Yu-jie ZHANG 
supported by National Natural Science Foundation of China (No. 11171125,91130003);Natural Science Foundation of Hubei (No. 2011CDB289);Youth Foundation of Naval University of Engineering (No.HGDQNJJ10003)
This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of （k, l）- algebraic...
关键词：Volterra delay-integro-differential equations multistep Runge-Kutta methods dissipativity （k l）-algebraically stable 
ASYMPTOTIC BEHAVIOR OF MULTISTEP RUNGE-KUTTA METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS被引量：1
《Acta Mathematicae Applicatae Sinica》2001年第2期240-246,共7页张诚坚 廖晓昕 
the National Natural Science Foundation of China (No.69974018).
This paper deals with the asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations (DDEs). With the help of K.J.in't Hout's analytic technique for the numerical stability of one...
关键词：STABILITY multistep Runges-Kutta methods DDEs 
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