英语翻译请帮忙翻译这段摘要-----谢谢!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 Fredhol
英语翻译
请帮忙翻译这段摘要-----谢谢!
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.
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这项技术在这项技术在Yuhe Ren et al(1999)[1]0-takes利用快速衰减卷积核k(| |)是这项技术在合仁等.(1999)[1]0-takes利用快速衰减卷积核k(| |)是−|不−t |是增加.然而,这并不适用于方程在其他类型的内核.我们现在在这篇文章中,一般泰勒展开法,爱茉莉可以应用到近似解的Fredholm方程有一个光滑的内核.同样,理论分析和实验结果表明,当新方法应用到Fredholm快速衰减方程的内核,它提供了比方法更精确的结果在Yuhe Ren et al(1999)[1].我们也讨论了应用的新方法,系统的泰勒Fredholm积分方程的一种.