B-SPLINE TIGHT FRAMELETS FOR SOLVING INTEGRAL ALGEBRAIC EQUATIONS WITH WEAKLY SINGULAR KERNELS

Authors

  • Taqi A. M. Shatnawi Department of Mathematics, Faculty of Science, The Hashemite University
  • Wasfi Shatanawi Department of Mathematics and Sciences, College of Humanities and Sciences Prince Sultan University

Abstract

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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Published

2022-05-26

Issue

Volume 27, Number 2, June 2022

Section

Articles