Additive parameters methods for the numerical integration of y″ = f (t, y, y′)

A. Sesappa Rai; U. Ananthakrishnaiah

doi:10.1016/0377-0427(94)00127-8

Additive parameters methods for the numerical integration of y″ = f (t, y, y′)

A. Sesappa Rai, U. Ananthakrishnaiah

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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 ≥ (2π/h)² the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.

Original language	English
Pages (from-to)	271-276
Number of pages	6
Journal	Journal of Computational and Applied Mathematics
Volume	67
Issue number	2
DOIs	https://doi.org/10.1016/0377-0427(94)00127-8
Publication status	Published - 29-03-1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(94)00127-8

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abstract = "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 ≥ (2π/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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AU - Sesappa Rai, A.

AU - Ananthakrishnaiah, U.

PY - 1996/3/29

Y1 - 1996/3/29

N2 - 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 ≥ (2π/h)2 the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.

AB - 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 ≥ (2π/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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JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Additive parameters methods for the numerical integration of y″ = f (t, y, y′)

Abstract

All Science Journal Classification (ASJC) codes

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