Nonlinear Functional Analysis and Applications

  • 제27권2호
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  • Pages.363-379
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  • 2022
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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B-SPLINE TIGHT FRAMELETS FOR SOLVING INTEGRAL ALGEBRAIC EQUATIONS WITH WEAKLY SINGULAR KERNELS

  • Shatnawi, Taqi A.M. (Department of Mathematics, Faculty of Science, The Hashemite University) ;
  • Shatanawi, Wasfi (Department of Mathematics and Sciences, College of Humanities and Sciences Prince Sultan University)
  • 투고 : 2021.11.17
  • 심사 : 2021.12.23
  • 발행 : 2022.06.08
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초록

In this paper, we carried out a new numerical approach for solving integral algebraic equations with weakly singular kernels. The novel method is based on the construction of B-spline tight framelets using the unitary and oblique extension principles. Some numerical examples are given to provide further explanation and validation of our method. The result of this study introduces a new technique for solving weakly singular integral algebraic equation and thus in turn will contribute to providing new insight into approximation solutions for integral algebraic equation (IAE).

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과제정보

The authors would like to thank the reviewers for their valuable comments.

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