Simple Method for Evaluating Singular Integrals - American Journal of Computational Mathematics

AJCM > Vol.7 No.4, December 2017

American Journal of Computational Mathematics

Volume 7, Issue 4 (December 2017)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

Simple Method for Evaluating Singular Integrals ()

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Download as PDF (Size: 291KB) PP. 444-450

DOI: 10.4236/ajcm.2017.74032 1,194 Downloads 3,313 Views Citations

Author(s)

Nhan T. Tran

Affiliation(s)

Department of Mathematics, Kansas State University, Manhattan, USA.

ABSTRACT

In this paper, we develop a method for evaluating one dimensional singular integrals (weakly, strongly, and hyper-singular) that converge in the sense of Cauchy principal value and Hadamard finite part integrals. A proof of convergence of this method is also provided.

KEYWORDS

Singular Integral, Weakly Singular, Strongly Singular, Hyper Singular, Numerical Integration

Share and Cite:

Tran, N. (2017) Simple Method for Evaluating Singular Integrals. American Journal of Computational Mathematics, 7, 444-450. doi: 10.4236/ajcm.2017.74032.

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