A One-Step Method for the Numerical Integration of the Differential Equation y'' = f(x)y + g(x) | Zendy

J. T. Day | Zendy

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A One-Step Method for the Numerical Integration of the Differential Equation y'' = f(x)y + g(x)

Author(s) -

J. T. Day

Publication year - 1965

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/7.4.314

Subject(s) - gauss , numerical integration , differential equation , point (geometry) , numerical analysis , mathematics , computer science , algorithm , mathematical analysis , physics , geometry , quantum mechanics

1. The numerical integration of ordinary differential equations by the use of Gaussian quadrature methods was introduced into the literature by Hammer and Hollingsworth (1955), for subsequent developments, see Morrison and Stoller (1958), Korganoff (1958), Kuntzmann (1961), Henrici (1962). In this paper we develop a one-step method for the numerical integration of the ordinary differential equation y" = f(x)y + g{x), y(o) — .Vo> y(*o) — yo based on the Gauss two-point rule (see Hildebrand, 1956). Theoretical and computational comparison of the new method with other methods is given.

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