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Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind

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Abstract

The goal of this research is to provide an effective technique for finding approximate solutions to the Fredholm integral problems of second kind using the Fibonacci Wavelet. To approximate the problem, Fibonacci wavelet collocation technique is employed. The Fredholm integral equations are transformed into algebraic equations having unknown Fibonacci coefficients. The convergence analysis and error estimation of the Fibonacci wavelet is briefly discussed. The results obtained by the current methodology are shown with the help of tables and graphs. To demonstrate the novelty of the current technique the outcomes are compared with Hermite cubic spline. Additionally, the comparison of exact and approximate values shows the precision, adaptability, and resilience of the suggested numerical approach.

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Authors and Affiliations

  1. Department of Mathematics, Central University of Haryana, Mahendragarh, 123031, India

    Pooja Yadav & Shah Jahan

  2. Department of Mathematics, College of Arts and Sciences, Prience Sattam Bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia

    K. S. Nisar

Authors
  1. Pooja Yadav
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  2. Shah Jahan
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  3. K. S. Nisar
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All authors have contributed equally to manuscript writing editing and conceptualizations. All authors reviewed the manuscript

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Correspondence to Shah Jahan.

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Yadav, P., Jahan, S. & Nisar, K.S. Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind. Qual. Theory Dyn. Syst. 22, 82 (2023). https://doi.org/10.1007/s12346-023-00785-0

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