Abstract
The method of shifted Legendre functions is successfully applied to the analysis of stiff systems. The basic idea is that the state variables are expressed in terms of shifted Legendre series. A powerful calculation algorithm is proposed to integrate the stiff equation with very accurate results for any length of time. A very simple recursive formula is developed to calculate the state functions. Taking only the single term (or second term) of expansion coefficients is enough to calculate the state functions. Illustrative examples are given. The computational results are compared with that of other numerical methods. Very satisfactory results are obtained.
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