英語(yǔ)翻譯
英語(yǔ)翻譯
請(qǐng)幫忙翻譯這段摘要-----謝謝!
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.
請(qǐng)幫忙翻譯這段摘要-----謝謝!
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.
英語(yǔ)人氣:606 ℃時(shí)間:2019-09-20 20:38:05
優(yōu)質(zhì)解答
這項(xiàng)技術(shù)在這項(xiàng)技術(shù)在Yuhe Ren et al(1999)[1]0-takes利用快速衰減卷積核k(| |)是這項(xiàng)技術(shù)在合仁等.(1999)[1]0-takes利用快速衰減卷積核k(| |)是−|不−t |是增加.然而,這并不適用于方程在其他類型的內(nèi)核.我們現(xiàn)在在這篇文章中,一般泰勒展開法,愛茉莉可以應(yīng)用到近似解的Fredholm方程有一個(gè)光滑的內(nèi)核.同樣,理論分析和實(shí)驗(yàn)結(jié)果表明,當(dāng)新方法應(yīng)用到Fredholm快速衰減方程的內(nèi)核,它提供了比方法更精確的結(jié)果在Yuhe Ren et al(1999)[1].我們也討論了應(yīng)用的新方法,系統(tǒng)的泰勒Fredholm積分方程的一種.
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