Numerical Approximation of Highly Oscillatory Integrals with Weak Singularity

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International Journal of Informatics and Applied Mathematics
Volume:2 Issue:2
Numerical Approximation of Highly Oscillatory Integrals with Weak Singularity

Numerical Approximation of Highly Oscillatory Integrals with Weak Singularity

Authors : İrfan ULLAH, Muhammad Munib KHAN

Pages : 61-71

View : 48 | Download : 14

Publication Date : 2019-12-30

Article Type : Research Paper

Abstract :In this paper, we design an accurate scheme for the approximation of highly oscillatory integrals having singularity . The interval of integration [a,b] is divided into two subintervals and then approximate the integral over first interval by hybrid function quadrature insert ignore into journalissuearticles values(Q_hf [g]);, while for the approximation of integrals over the second interval we use Levin meshless method insert ignore into journalissuearticles values(Q_L^m [g]);. For a result, we find the sum of both the integrals. To check the effectiveness of method results of some test problems are calculated by hybrid function quadrature and compared with the results produces by the proposed method.
Keywords : oscillatort integral, singularity, Levin method, hybrid fuction

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