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Mathematics > Numerical Analysis

arXiv:1804.08571 (math)
[Submitted on 23 Apr 2018]

Title:Solving generalized Abel's integral equations of the first and second kinds via Taylor-collocation method

Authors:Eisa Zarei, Samad Noeiaghdam
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Abstract:The aim of this paper is to present an efficient numerical procedure to approximate the generalized Abel's integral equations of the first and second kinds. For this reason, the Taylor polynomials and the collocation method are applied. Also, the error analysis of presented method is illustrated. Several examples are approximated and the numerical results show the accuracy and efficiency of this method.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:1804.08571 [math.NA]
  (or arXiv:1804.08571v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1804.08571

Submission history

From: Samad Noeiaghdam [view email]
[v1] Mon, 23 Apr 2018 17:10:27 UTC (9 KB)
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