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http://dx.doi.org/10.22771/nfaa.2022.27.02.11

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)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.2, 2022 , pp. 363-379 More about this Journal
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).
Keywords
Weakly singular integral algebraic equation; unitary extension principle; oblique extension principle; B-spline; tight framelets;
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