Title of article
Hα-stability of modified Runge–Kutta methods for nonlinear neutral pantograph equations ✩
Author/Authors
S.F. Ma، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
15
From page
1128
To page
1142
Abstract
In this paper, we investigate Hα-stability of algebraically stable Runge–Kutta methods with a variable
stepsize for nonlinear neutral pantograph equations. As a result, the Radau IA, Radau IIA, Lobatto IIIC
method, the odd-stage Gauss–Legendre methods and the one-leg θ-method with 12
θ 1 are Hα-stable
for nonlinear neutral pantograph equations. Some experiments are given.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Algebraic stability , Modified Runge–Kutta methods , H?-stability , Nonlinear neutral pantograph equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936242
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