Title of article :
Numerical Evaluation for Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method and Spline Approximation
Author/Authors :
Eshkuvvatov, Zainiddin K. Universiti Putra Malaysia - Faculty of Science - Department of Mathematics Institute for Mathematical Research, Malaysia , Nik Long, Nik Mohd Asri Universiti Putra Malaysia - Faculty of Science - Department of Mathematics Institute for Mathematical Research, Malaysia
Abstract :
This paper deals with the construction of an efficient quadrature formula for singular integrals (SI) of Cauchy type based on modification of discrete vortex method (MDV) and interpolation linear spline. The estimations of errors are obtained in the classes of Hα(K, [-1,1]) and C1([-1,1]). Numerical analysis are also given
Keywords :
singular integral , quadrature formula , canonic partition , discrete vortex method , approximation , spline
Journal title :
Malaysian Journal of Mathematical Sciences
Journal title :
Malaysian Journal of Mathematical Sciences
