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.

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dc.contributor.authorSesappa Rai, A.
dc.contributor.authorAnanthakrishnaiah, U.
dc.date.accessioned2026-02-05T11:00:34Z
dc.date.issuedAdditive parameters methods for the numerical integration of y? = f (t, y, y?)
dc.description.abstract1996
dc.identifier.citationJournal of Computational and Applied Mathematics, 1996, 67, 2, pp. 271-276
dc.identifier.issn3770427
dc.identifier.urihttps://doi.org/10.1016/0377-0427(94)00127-8
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/28058
dc.publisherElsevier
dc.subjectDifferential equations
dc.subjectFinite difference method
dc.subjectNumerical methods
dc.subjectAdditive parameters
dc.subjectGeneral second order initial value problems
dc.subjectIntegration
dc.titleIn 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.

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