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Faculty Publications

Faculty Publications

Permanent URI for this communityhttps://idr.nitk.ac.in/handle/123456789/18736

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1 search.filters.author.Ananthakrishnaiah, U.

1 search.filters.author.Sesappa Rai, A.

search.filters.subject.Additive parameters

1 search.filters.subject.Differential equations

1 search.filters.subject.Finite difference method

1 search.filters.subject.General second order initial value problems

1 search.filters.subject.Integration

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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.
(Elsevier, Additive parameters methods for the numerical integration of y? = f (t, y, y?)) Sesappa Rai, A.; Ananthakrishnaiah, U.
1996

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