کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4640458 | 1341275 | 2011 | 12 صفحه PDF | دانلود رایگان |
It is known that the solutions of characteristic singular integral equations (SIEs) are expressed in terms of singular integrals of Cauchy type with weight functions w(x)=(1+x)ν(1−x)μw(x)=(1+x)ν(1−x)μ, where ν=±12,μ=±12. New quadrature formulas (QFs) are presented to approximate the singular integrals (SIs) of Cauchy type for all solutions of characteristic SIE on the interval [−1,1][−1,1]. Linear spline interpolation, modified discrete vortex method and product quadrature rule are utilized to construct the QFs. Estimation of errors are obtained in the classes of functions Hα([−1,1],A)Hα([−1,1],A) and C1([−1,1])C1([−1,1]). It is found that the numerical results are very stable even for the cases of semi-bounded and unbounded solutions of singular integral equation of the first kind.
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 16, 15 June 2011, Pages 4742–4753