英语翻译
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The technique presented in Yuhe Ren et al.(1999) [1] 0-takes advantage of a rapidly decaying convolution kernel k(|s−t|) as |s−t| increases.However,it does not apply to equations having other types of kernels.We present in this paper amore general Taylor expansion method which can be applied to approximate a solution of the Fredholm equation having a smooth kernel.Also,it is shown that when the new method is applied to the Fredholm equation with a rapidly decaying kernel,it provides more accurate results than the method in Yuhe Ren et al.(1999) [1].We also discuss an application of the new Taylor-series method to a system of Fredholm integral equations of the second kind.