Fractional Step Runge–Kutta methods for time dependent coefficient parabolic problems Original Research Article

We study the uniform convergence for general Fractional Step Runge–Kutta methods in the integration of a class of evolution problems which includes linear parabolic problems whose coefficients depend on time. Such analysis is performed by suitably decomposing the contribution to the global error of this time integration procedure and the contribution of some standard spatial discretization methods.