Numerical Solution of the Cauchy-Type Singular Integral Equation with a Highly Oscillatory Kernel Function
Copyright policy ) null SAIRA; Shuhuang Xiang; Guidong Liu;
Numerical Solution of the Cauchy-Type Singular Integral Equation with a Highly Oscillatory Kernel Function
This paper aims to present a Clenshaw–Curtis–Filon quadrature to approximate thesolution of various cases of Cauchy-type singular integral equations (CSIEs) of the second kind witha highly oscillatory kernel function. We adduce that the zero case oscillation (k = 0) proposed methodgives more accurate results than the scheme introduced in Dezhbord at el. (2016) and Eshkuvatovat el. (2009) for small values of N. Finally, this paper illustrates some error analyses and numericalresults for CSIEs.
- Central South University China (People's Republic of)
- Nanjing Audit University China (People's Republic of)
Clenshaw–Curtis–Filon, high oscillation, QA1-939, singular integral equations, boundary singularities, Mathematics
Clenshaw–Curtis–Filon, high oscillation, QA1-939, singular integral equations, boundary singularities, Mathematics
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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