• Title/Summary/Keyword: oblique extension principle

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

  • Shatnawi, Taqi A.M.;Shatanawi, Wasfi
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.363-379
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    • 2022
  • 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).