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Simple Method for Evaluating Singular Integrals
Department of Mathematics, Kansas State University, Manhattan, USA
- 1 Department of Mathematics, Kansas State University, Manhattan, USA
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 444–450·Published 26 October 2017·DOI10.4236/ajcm.2017.74032
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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.
KeywordsSingular IntegralWeakly SingularStrongly SingularHyper SingularNumerical Integration
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