New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies | Zendy

Yonglei Fang | Zendy; Xiong You | Zendy; Zhaoxia Chen | Zendy

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New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies

Author(s) -

Yonglei Fang,

Xiong You,

Zhaoxia Chen

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/742585

Subject(s) - mathematics , dissipative system , mathematical analysis , initial value problem , algebraic number , stability (learning theory) , type (biology) , physics , quantum mechanics , machine learning , computer science , ecology , biology

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

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