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August 20, 2025Journal of Advances in Mathematics and Computer ScienceOpen Access

A Novel Wavelet-based Approximation Scheme for the Approximate Solution/Source of Fredholm Integral Equation of the Second Kind with Variable Coefficient and the Pseudo-Logarithmic Kernels

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Authors

SBSudam BinSKSharda KumariMPM. M. PanjaVisva-Bharati University

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Implication

Orthonormal polynomial wavelet approach improves efficiency in solving Fredholm integral equations with variable coefficients, suggesting high accuracy.

Key Points

  • The proposed scheme offers high accuracy for solving Fredholm integral equations with variable coefficients.
  • Tests show that the method effectively deals with logarithmic and pseudo-logarithmic kernels, enhancing computational efficiency.
  • The approach utilizes wavelet techniques, demonstrating a significant improvement in approximation over traditional methods.
  • Results indicate the scheme's capability to operate effectively even without known source terms, broadening its application.

Cite This Study

Bin et al. (2025) studied this question.

synapsesocial.com/papers/68af4ce5ad7bf08b1ead6c26https://doi.org/10.9734/jamcs/2025/v40i92040
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A new Laguerre wavelets‐based method for solving Fredholm integral equations with weakly singular logarithmic kernel2024 · 1 citations
  2. 2Numerical Solution of First Kind Fredholm Integral Equations Using Wavelet Collocation Method2024 · 1 citations
  3. 3A novel approach for solving linear Fredholm integral equations of the second kind using Bernoulli polynomials and improved block-pulse functions2025 · 2 citations
  4. 4Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations2025 · 2 citations
  5. 5Numerical Solution of a Singular Integral Equation of the First Kind with Hilbert Kernel2025