2012Czech digital mathematics libraryOpen access

The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

R. I. Okuonghae, M. N. O. Ikhile

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Abstract

summary:This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$.

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summary:This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$.

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Available abstract

summary:This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A$(\alpha )$-stable for step length $k\le 7$.

Key concepts: Ode, Initial value problem, Ordinary differential equation, Mathematics, Stiff equation, Derivative (finance), Backward differentiation formula, Time derivative

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