Monday, 4 April 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-371
Full Name: Peter Ndajah
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Graduate School of Science and Technology, Niigata University, 8050, Ikarashi 2-no-cho, Nishi-ku, Niigata, 950-2181
Country: JAPAN
Tel: +818031495685
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E-mail address: ndajah@telecom0.eng.niigata-u.ac.jp
Other E-mails: ndajah@gmail.com
Title of the Paper: almost runge-kutta methods of orders up to five
Authors as they appear in the Paper: Abraham Ochoche, Peter Ndajah
Email addresses of all the authors: ndajah@telecom0.eng.niigata-u.ac.jp, abochoche@gmail.com
Number of paper pages: 11
Abstract: In this paper, we have sought to investigate the viability of a type of general linear methods called Almost Runge-Kutta (ARK) methods, as a means of obtaining acceptable numerical approximations of the solution of problems in continuous mathematics. We have outlined the derivation and implementation of this class of methods up to order five. Extensive numerical experiments were carried out and the results clearly show that ARK methods are indeed a viable alternative to existing traditional methods.
Keywords: Almost, Order, Alternative, Euler, Runge -- Kutta, General Linear Methods.
EXTENSION of the file: .pdf
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