Application of modified Laguerre polynomials in analysis of stiff equations

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Abstract
The Laguerre polynomials are modified by an additional parameter and are applied to analyze the stiff systems. The basic idea is that the state functions are expressed in terms of the modified Laguerre series. Algebraic equations of expansion coefficients are obtained and solved by a recursive formula. A very powerful computational algorithm is proposed to solve the very stiff differential equations. Taking only two terms of the expansion coefficients to calculate the state function will give satisfactory computational results. Illustrative examples are given, and satisfactory results are obtained.

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