New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies
Summary: Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated. A one-frequency method and a two-frequency method are constructed. The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five. The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted. Numerical experiments are reported to show the efficiency and competence of the two new methods.
amplification fitted Numerov-type methods
scientific article; zbMATH DE number 6116444
scientific article