Journals Information
Universal Journal of Applied Mathematics Vol. 3(3), pp. 53 - 61
DOI: 10.13189/ujam.2015.030304
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A More Accurate and Straightforward Method for Evaluating Singular Integrals
M. Kamrul Hasan 1,*, M. Ashraful Huq 1, M. Habibur Rahaman 1, B. M. Ikramul Haque 1,2
1 Department of Mathematics, Rajshahi University of Engineering and Technology, Bangladesh
2 Department of Mathematics, Khulna University of Engineering and Technology, Bangladesh
ABSTRACT
Recently, a straightforward formula has been presented for evaluating singular integrals. Earlier extrapolation technique was used to guess the functional values at the singular points since most of the classical formulae contain both ends points. In this article a more accurate straightforward formula is presented for evaluating singular integrals. The new formula converges faster than others existing formulae. The Romberg integration scheme of this method also converges faster.
KEYWORDS
Numerical Integral, Singular Integral, Newton-Cotes Formulae, Romberg Integration Scheme
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] M. Kamrul Hasan , M. Ashraful Huq , M. Habibur Rahaman , B. M. Ikramul Haque , "A More Accurate and Straightforward Method for Evaluating Singular Integrals," Universal Journal of Applied Mathematics, Vol. 3, No. 3, pp. 53 - 61, 2015. DOI: 10.13189/ujam.2015.030304.
(b). APA Format:
M. Kamrul Hasan , M. Ashraful Huq , M. Habibur Rahaman , B. M. Ikramul Haque (2015). A More Accurate and Straightforward Method for Evaluating Singular Integrals. Universal Journal of Applied Mathematics, 3(3), 53 - 61. DOI: 10.13189/ujam.2015.030304.