Straightforward Methods for Evaluating Singular Integrals

This study has been done by Md. Habibur Rahaman, under the supervision of Prof. Dr. Md. Shamsul Alam, Dept. of Mathematics, Rajshahi University of Engineering & Technology (RUET), Rajshahi, Bangladesh. The evaluation of singular integrals and obtaining very near accurate results is very essential. Gauss¿s quadrature formulae are the road master/icon in this field. These rules have been used to evaluate such singular integrals. Gauss¿s quadrature rules are theoretically suitable and have great accuracy. But the derivations as well as utilization of all these methods are not so easy. In this research new straightforward methods have been presented for evaluating these integrals. It gives more accurate results than other existing methods for singular cases. It also fruitful for non-singular cases.