@article {10.3844/jmssp.2011.81.85,
article_type = {journal},
title = {Half-bounded Numerical Solution of Singular Integral Equations with Cauchy Kernel},
author = {Abdulkawi, M. and Eshkuvatov, Z. K. and Long, N.M.A. Nik},
volume = {7},
year = {2011},
month = {Mar},
pages = {81-85},
doi = {10.3844/jmssp.2011.81.85},
url = {https://thescipub.com/abstract/jmssp.2011.81.85},
abstract = {Problem statement: In this study, a numerical solution for singular integral equations of
the first kind with Cauchy kernel over the finite segment [-1,1] is presented. The numerical solution is
bounded at x =1 and unbounded at x = -1. Approach: The numerical solution is derived by approximating
the unknown density function using the weighted Chebyshev polynomials of the fourth kind. Results: The
force function is approximated by using the Chebyshev polynomials of the third kind. Conclusion: The
exactness of the numerical solution is shown for characteristic equation when the force function is a cubic.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}