Abstract
Erratum to “Simple Method for Evaluating Singular Integrals” [American Journal of Computational Mathematics, Volume 7, Number 4, December 2017 PP. 444-450
Highlights
Many problems in engineering and science require evaluating singular integrals
We study the class of one-dimensional singular integrals that converge in the sense of Cauchy principal value
We consider only one-dimensional singular integrals that converge in the sense of Cauchy principal value
Summary
Many problems in engineering and science require evaluating singular integrals. We consider only one-dimensional singular integrals that converge in the sense of Cauchy principal value. In which u (t ) is a continuous function These integrals are classified by the order of singularity. If p < 1 , the integral is called weakly singular. If p > 1 , the integral is called hyper-singular, see [9]. An integral is called weakly singular if its value exists and continuous at the singularity. They are often defined in terms of Cauchy principal value, see [10]. We present an alternative approach for approximating one dimensional singular integrals which converge in the sense of Cauchy principal value.
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