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1989•International Journal of Computer MathematicsRequires access

Auxiliary linear multistep methods: explicit

G. Sahoo, Nilanjan Datta

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Abstract

A class of high order explicit 2-step methods for the integration of ordinary differential equations have been developed. The methods use the slopes at several auxiliary points within a step. The efficiency of the methods has been established by comparing numerical results with those of Adams—Bashforth—Moulton predictor-corrector method and Runge-Kutta fourth order method.

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What this paper is about

A class of high order explicit 2-step methods for the integration of ordinary differential equations have been developed. The methods use the slopes at several auxiliary points within a step. The efficiency of the methods has been established by comparing numerical results with those of Adams—Bashforth—Moulton predictor-corrector method and Runge-Kutta fourth order method.

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Available abstract

A class of high order explicit 2-step methods for the integration of ordinary differential equations have been developed. The methods use the slopes at several auxiliary points within a step. The efficiency of the methods has been established by comparing numerical results with those of Adams—Bashforth—Moulton predictor-corrector method and Runge-Kutta fourth order method.

Key concepts: Linear multistep method, Runge–Kutta methods, Numerical methods for ordinary differential equations, Mathematics, Backward differentiation formula, Predictor–corrector method, Ordinary differential equation, Applied mathematics

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