Efficient quadrature rules for numerical evaluation of singular and hyper singular integrals
DOI:
https://doi.org/10.33959/cuijca.v6i1.65Keywords:
Hybrid functions, Hadamard finite part integrals, Cauchy principle value integrals, Haar wavelets.Abstract
In this paper Newton-Cote type quadrature rule, Haar wavelets, and hybrid functions-based quadratures are used for the numerical solution of singular and hyper singular integrals having singularity at the origin. These integrals include the Cauchy principle value (CPV) and Hadamard finite part (HFP) integrals. The proposed rules are tested numerically on some test problems to check the efficiency and accuracy of the new methods.References
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