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Volume 23, Issue 4
Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations

Yue-Xin Yu & Shou-Fu Li

J. Comp. Math., 23 (2005), pp. 351-356.

Published online: 2005-08

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  • Abstract

This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on $(k,l)-$algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived.

  • Keywords

Nonlinear pantograph equations, Runge-Kutta methods, Numerical stability, Asymptotic stability.

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COPYRIGHT: © Global Science Press

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@Article{JCM-23-351, author = {Yue-Xin Yu and Shou-Fu Li}, title = {Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {4}, pages = {351--356}, abstract = {

This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on $(k,l)-$algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8821.html} }
TY - JOUR T1 - Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations AU - Yue-Xin Yu & Shou-Fu Li JO - Journal of Computational Mathematics VL - 4 SP - 351 EP - 356 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8821.html KW - Nonlinear pantograph equations, Runge-Kutta methods, Numerical stability, Asymptotic stability. AB -

This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on $(k,l)-$algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stability conditions for the presented methods are derived.

Yue-Xin Yu and Shou-Fu Li. (2005). Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations. Journal of Computational Mathematics. 23 (4). 351-356. doi:
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