Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces

详细信息	查看全文 | 推荐本文 |

• 作者：Iurie Caraus^a ; ^{caraush@usm.md} ; Feras M. Al Faqih^b ; ^{oxfer@yahoo.com}
• 关键词：Collocation method ; Lebesgue spaces ; Systems of singular integro-differential equations ; Fejé ; r points
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2012
• 期刊代码：72_03770427
• 类别：cp
• 出版时间：September, 2012
• 卷：236
• 期：15
• 页码：3796-3804
• 文件大小：232 K

摘要

Computational schemes for the collocation method and the mechanical quadrature method for the approximate solution of systems of singular integro-differential equations with a Cauchy kernel are elaborated. The case where the systems of equations are defined on an arbitrary smooth closed contour of a complex plane is examined. The methods researched are based on Fej茅r points. Estimates of the rate of convergence in Lebesgue space are obtained.