Behnam Salehi, Kazem Nouri, Leila Torkzadeh, Hybrid functions approach for Fredholm integral equation of the first kind, Vol. 2022 (2022), Article ID 34, pp. 1-13

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DOI: 10.23952/jnfa.2022.34

Received January 8, 2021; Accepted August 27, 2022; Published September 13, 2022

 

Abstract This paper introduces a new computational direct method using the hybrid block-pulse functions and the Euler polynomials for solving the Fredholm integral equation of the first kind. The properties of hybrid functions are utilized for converting the integral equations to a linear system of algebraic ones. The key feature of our method is the low cost in setting up the equations without the aid of projections. Finally, some computational instances are presented to demonstrate the high accuracy and wide applicability of our method.

 

How to Cite this Article:
B. Salehi, K. Nouri, L. Torkzadeh, Hybrid functions approach for Fredholm integral equation of the first kind, J. Nonlinear Funct. Anal. 2022 (2022) 34.