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Titolo:
A comparison of extended Runge-Kutta formulae based on variety of means tosolve system of IVPs
Autore:
Murugesan, K; Dhayabaran, DP; Amirtharaj, ECH; Evans, DJ;
Indirizzi:
Reg Engn Coll, Dept Math & Comp Applicat, Tiruchchirappalli 620015, Tamil Nadu, India Reg Engn Coll Tiruchchirappalli Tamil Nadu India 620015 Tamil Nadu, India Bishop Heber Coll, Dept Math, Tiruchchirappalli 620017, Tamil Nadu, India Bishop Heber Coll Tiruchchirappalli Tamil Nadu India 620017 l Nadu, India Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England Nottingham Trent Univ Nottingham England NG1 4BU ingham NG1 4BU, England
Titolo Testata:
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
fascicolo: 2, volume: 78, anno: 2001,
pagine: 225 - 252
Fonte:
ISI
Lingua:
ENG
Keywords:
Runge-Kutta formula; Arithmetic Mean; Geometric Mean; Harmonic Mean; Heronian Mean; Root Mean Square; Centroidal Mean; Contraharmonic Mean; ordinary differential equation and system of IVPs;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
10
Recensione:
Indirizzi per estratti:
Indirizzo: Murugesan, K Reg Engn Coll, Dept Math & Comp Applicat, Tiruchchirappalli 620015, Tamil Nadu, India Reg Engn Coll Tiruchchirappalli Tamil Nadu India 620015 ndia
Citazione:
K. Murugesan et al., "A comparison of extended Runge-Kutta formulae based on variety of means tosolve system of IVPs", INT J COM M, 78(2), 2001, pp. 225-252

Abstract

Extended fourth order Runge-Kutta (RK) formulae based on Arithmetic Mean (AM), Geometric Mean (GM), Harmonic Mean (HaM), Heronian Mean (HeM), Root Mean Square (RM), Centroidal Mean (CeM) and Contraharmonic Mean (CoM) are developed to solve the system of linear differential equations. The accuracy of the new formulae are tested for five major Initial Value Problems (IVPs) from the real world applications. The algorithms governing the methods can easily be computerized. The investigation undertaken in this study reveals that the extended fourth order RK methods based on AM, and CeM suit well for the system of Initial Value Problems (IVPs).

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Documento generato il 15/07/20 alle ore 14:34:03