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This is a Quantitative Study study (also classified as: Experimental Study).

September 20, 2025International Journal of Analysis and ApplicationsOpen Access

Numerical Solution of a Singular Integral Equation of the First Kind with Hilbert Kernel

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The constructed optimal quadrature formula significantly reduces the error in solving singular integral equations.
As the number of nodes in the quadrature increases, the approximate solution converges to the exact solution.
Numerical methods are applied within the functional framework of L2 space, enhancing accuracy in calculations.
Graphs illustrate the effectiveness of the proposed method for Fredholm-type singular integral equations.

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Implication

This article discusses the numerical solution of singular integral equations, highlighting the convergence of approximations using optimal quadrature formulas.

Cite This Study

Shadimetov et al. (2025) studied this question.

synapsesocial.com/papers/68d469ce31b076d99fa66a37 https://doi.org/10.28924/2291-8639-23-2025-224

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Implication

This article discusses the numerical solution of singular integral equations, highlighting the convergence of approximations using optimal quadrature formulas.

Numerical Solution of a Singular Integral Equation of the First Kind with Hilbert Kernel

Key Points

Discussion

Implication

Cite This Study

Numerical Solution of a Singular Integral Equation of the First Kind with Hilbert Kernel

Key Points

Discussion

Implication

Cite This Study

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