A low-order embedded Runge—Kutta method for periodic initial-value problems

Abstract

An embedded Runge—Kutta—Fehlberg method is developed. It should be noted that this embedded method is procuced using the Runge—Kutta—Fehlberg method with algebraic order four to estimate a truncation phase-lag error of algebraic order three. The numerical results indicate that this new method is efficient for the numerical solution of differential equations with periodic solution, using variable stepsize.