中立型比例方程变步长改进的Runge-Kutta方法的Hα-稳定性

摘要

研究中立型比例方程的改进Runge-Kutta方法的Hα-稳定性,给出了变步长改进Runge-Kutrnta方法渐近稳定的充分必要条件.%Hα-stability of modified Runge-Kutta methods for neutral pantograph equation is dealt with. The necessary and sufficient conditions under which the modified Runge-Kutta methods with the variable mesh are asymptotically stable are given.