高阶显式指数龙格-库塔方法

针对带有震荡性的常微分方程初值问题的数值解，构造了新型的显式三级三阶指数龙格-库塔方法，分析了其误差及稳定性，并应用于数值试验。结果表明指数龙格-库塔方法比经典龙格-库塔方法误差更小，稳定性更好，更易实现，并适于实际应用。

High-order explicit exponentially fitted explicit Runge-Kutta methods

For systems of first order differential equations where the problems exhibit a pronounced oscillatory character, we create new exponentially fitted explicit Runge-Kutta methods and analysis their errors and stability. The numerical experiments show that exponentially fitted Runge-Kutta methods have much smaller errors and better stability than classical Runge-Kutta methods, and should have many future applications.