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2002•Journal of Ningxia UniversityRequires access

A class of linear multistep method for solving initial value problems of ordinary differential equations

Yonghui Huang

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Abstract

To give a class of linear multistep method for solving initial value problems of ordinary differential equations, which include both the explicit k step with k order method and the implicit k step with k + 1 order method, the real intervals of their absolute stability are larger than that of the Adams method. Numerical tests show that this new method are superior to the Adams one.

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What this paper is about

To give a class of linear multistep method for solving initial value problems of ordinary differential equations, which include both the explicit k step with k order method and the implicit k step with k + 1 order method, the real intervals of their absolute stability are larger than that of the Adams method. Numerical tests show that this new method are superior to the Adams one.

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Available abstract

To give a class of linear multistep method for solving initial value problems of ordinary differential equations, which include both the explicit k step with k order method and the implicit k step with k + 1 order method, the real intervals of their absolute stability are larger than that of the Adams method. Numerical tests show that this new method are superior to the Adams one.

Key concepts: Linear multistep method, Backward differentiation formula, Numerical methods for ordinary differential equations, Mathematics, Ordinary differential equation, Explicit and implicit methods, Exponential integrator, Applied mathematics

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