Embedded implicit Runge-Kutta Nystrom method for solving second-order differential equations

Imoni, SO and Ramamohan, TR and Otunta, FO (2006) Embedded implicit Runge-Kutta Nystrom method for solving second-order differential equations. International Journal of Computer Mathematics, 83 (11). pp. 777-784.

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Abstract

In this paper a new embedded Singly Diagonally Implicit Runge-Kutta Nystrom fourth order in fifth order method for solving special second order initial value problems is derived. A standard set of test problems are tested upon and comparisons on the numerical results are made when the same set of test problems are reduced to first order systems and solved using the existingembedded diagonally implicit Runge-Kutta method. The results suggests the superiority of the new method.

Item Type: Article
Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Numerical Analysis
Depositing User: Dr. TR Ramamohan
Date Deposited: 09 Aug 2010 04:32
Last Modified: 09 Aug 2010 04:32
URI: http://nal-ir.nal.res.in/id/eprint/8902

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