Wednesday, September 15, 2021

A generalized Numero method for linear second-order differential equations involving a first derivative term

 V.I. Tselyaev

 

 Abstract

The Numero vmethod for linear second-order di&erential equations is generalized to include equations containing a (rst derivative term. The method presented has the same degree of accuracy as the conventional Numero vmethod. The accuracy of the method is analysed in a limiting case and in the framework ofthe numerical experiment in comparison with the Runge–Kutta method and with another modi(cations oft he Numero vmethod. A general scheme of the application to the numerical solution of the Hartree–Fockequations is considered. 

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