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A Runge—Kutta—Nyström method for the numerical integration of special second-order periodic initial-value problems

✍ Scribed by T.E. Simos; E. Dimas; A.B. Sideridis


Book ID
107988959
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
568 KB
Volume
51
Category
Article
ISSN
0377-0427

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In the present work, we are concerned with the derivation of continuous Rung+Kutta-Nystrom methods for the numerical treatment of second-order ordinary differential equations with periodic solutions. Numerical methods used for solving such problems are better to have the characteristic of high phase

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new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new