A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems

摘要

A new family of A-stable Runge-Kutta methods with equation-dependent (EDRK) coefficients for the numerical solution of stiff differential equations is investigated. The newly constructed four-stage EDRK methods are of algebraic order five. The linear stability properties are analyzed. Numerical experiments are carried out to show the efficiency of the new methods compared with the existing codes in the literature.