Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645903 | Applied Numerical Mathematics | 2009 | 8 Pages |
Abstract
We elaborate on a nonlinear explicit two-step P-stable method of fourth algebraic order and varying phase-lag order for solving one-dimensional second-order linear periodic initial value problems (IVPs) of ordinary differential equations. Using special vector arithmetic with respect to an analytic function, the method can be extended to be vector applicable for multidimensional problems. Numerical results to illustrate the efficiency of the method are presented.
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