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2002•Global Journal of Mathematical SciencesOpen access

New Third Order Explicit Runde-Kutta Method with Equal Nodes

J. I. Mbegbu, Stella C. Chiemeke

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Abstract

In the light of (4) and (5), a new third order explicit Runge – Kutta Method with equal nodes and it's computer implementation were highlighted. The method compared efficiently with the existing third order explicit Runge – Kutta methods proposed by Kutta, Ralston, Heun and Nystrom respectively. Key Word: Explicit Runge – Kutta methods, Stepsize, order conditions, and parameters. (Global Journal of Mathematical Sciences: 2002 1 (1&2): 1-12)

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In the light of (4) and (5), a new third order explicit Runge – Kutta Method with equal nodes and it's computer implementation were highlighted. The method compared efficiently with the existing third order explicit Runge – Kutta methods proposed by Kutta, Ralston, Heun and Nystrom respectively. Key Word: Explicit Runge – Kutta methods, Stepsize, order conditions, and parameters. (Global Journal of Mathematical Sciences: 2002 1 (1&2): 1-12)

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Available abstract

In the light of (4) and (5), a new third order explicit Runge – Kutta Method with equal nodes and it's computer implementation were highlighted. The method compared efficiently with the existing third order explicit Runge – Kutta methods proposed by Kutta, Ralston, Heun and Nystrom respectively. Key Word: Explicit Runge – Kutta methods, Stepsize, order conditions, and parameters. (Global Journal of Mathematical Sciences: 2002 1 (1&2): 1-12)

Key concepts: Runge–Kutta methods, Third order, Order (exchange), Applied mathematics, Mathematics, Computer science, Key (lock), First order

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