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2012•Jisuanji fangzhenRequires access

Improved BDF for Stiff Differential Equations

Shoufu Li

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Abstract

Two classes of improved backward differentiation formulae for stiff differential equations were proposed by increasing the method's step number,whose abbreviations are IBDF1 and IBDF2 respectively.Theoretical analysis and numerical experiments show that these two classes of new methods preserve the original advantages of BDF with more perfect stability properties than the corresponding BDF.

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What this paper is about

Two classes of improved backward differentiation formulae for stiff differential equations were proposed by increasing the method's step number,whose abbreviations are IBDF1 and IBDF2 respectively.Theoretical analysis and numerical experiments show that these two classes of new methods preserve the original advantages of BDF with more perfect stability properties than the corresponding BDF.

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Available abstract

Two classes of improved backward differentiation formulae for stiff differential equations were proposed by increasing the method's step number,whose abbreviations are IBDF1 and IBDF2 respectively.Theoretical analysis and numerical experiments show that these two classes of new methods preserve the original advantages of BDF with more perfect stability properties than the corresponding BDF.

Key concepts: Backward differentiation formula, Mathematics, Stability (learning theory), Differential equation, Applied mathematics, Mathematical analysis, Numerical methods for ordinary differential equations, Differential algebraic equation

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