Additive Parameters methods for the Numerical Integration of y" =f(t,y,y')

Rai, Sesappa A and Ananthakrishnaiah, U (1996) Additive Parameters methods for the Numerical Integration of y" =f(t,y,y'). Journal of Computational and Applied Mathematics, 67 (2). pp. 271-276. ISSN 0377-0427

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In this paper numerical methods for the initial value problems of general second order differential equations are derived. The methods depend upon the parameters p and q which are the new additional values of the coefficients of y'and y in the given differential equation. Here,we report a new two step fourth order method. As p tends to zero and q ~> (2~/h) 2 the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.

Item Type: Article
Additional Information: © 2011 Elsevier
Uncontrolled Keywords: General second order initial value problems; Additive parameters; Absolutely stable
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 08 Sep 2011 10:14
Last Modified: 08 Sep 2011 10:14

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