A local truncation error estimation for a Sublval solver

摘要

The paper concerns an analysis for Sublval(the subinterval-based method for fractional derivative computations in initial value problems).A time step size adaptive solver is discussed,for which the formula of a local truncation error is derived.A general form for a system of linear equations is given for the considered class of problems(for which the analysis is performed in the paper).Two circuit examples are introduced to display the usefulness of the Sublval solver.For the examples that have been chosen it is possible to obtain referential solutions through completely different methods.The results obtained through the numerical solver are compared with evaluations of the referential solutions.The error estimation results obtained for the time steps of the Sublval solver are compared with the actual errors,being the differences between the numerical solutions and the referential solutions.The paper also contains a comparison of the accuracy of results obtained through the Sublval solver with the accuracies of other solvers.