Matrix-Vector formulas of the barycentric Lagrange interpolation for solving systems of two linear Fredholm integral equations of the second kind

ES Shoukralla - International Journal of Applied and Computational …, 2024 - Springer
In this study, we provided a new approach to solve systems of second-kind linear Fredholm
equations. The presented method is based on the application of some new formulas of the …

[PDF][PDF] Further Study for the Ordered Weighted Averaging Operator

YL Wang, TY Chiang - IAENG International Journal of Applied …, 2023 - iaeng.org
In this article, an ordered weighted averaging operator with the degree of orness and the
measure of entropy was examined by us. The purpose of this paper is twofold. We first prove …

[PDF][PDF] Approximate Solutions to Weakly Singular Fredholm Integral Equations of the Second Kind using Shifted Legendre Polynomials of the First Kind

ES Shoukralla, AA Hasan, S Abdelhamid… - Journal of Advanced …, 2024 - researchgate.net
In this research, we presented a simple approach to approximate the second type of linear
weakly singular and non-singular Fredholm integral. Shifted Legendre polynomials of the …

[PDF][PDF] Approximate Solutions of Hypersingular Integral Equations of the First Kind Using Chebyshev Polynomials of the Second Kind in Matrix-Vector Versions

ES Shoukralla, BM Ahmed - IAENG International Journal of …, 2025 - researchgate.net
In this study, we focus on obtaining approximate solutions to hypersingular Fredholm
integral equations of the first kind that appear in water wave dynamics, elasticity, acoustics …

Barycentric Lagrange interpolation method for solving Love's integral equations

ES Shoukralla, BM Ahmed - Boundary Value Problems, 2023 - Springer
In this paper, we present a new simple method for solving two integral equations of Love's
type that have many applications, especially in electrostatic systems. The approach of the …

Barycentric Lagrange Interpolation in Matrix-Vector Versions for solving Love's Integral Equations

ES Shoukralla - 2023 - researchsquare.com
In this paper, we solve two integral equations of Love's type that have many applications,
especially in electrostatic systems. The approach of the solution is based on an innovative …

[PDF][PDF] Solution of Volterra Integral Equations of the Second Kind with Weakly Singular Kernels Using Legendre Polynomials

ES Shoukralla, AA Hasan, RA Gomaa, A Yehia - researchgate.net
The shifted Legendre polynomials of the first kind are employed to solve second kind
Volterra integral equations with weakly singular kernels. In this method the unknown …

[PDF][PDF] Steffensen's Method for Solving Fredholm Integral Equations of the Second Kind

AM Hassan - مجلة جامعة بني وليد للعلوم الإنسانية والتطبيقية, 2024‎ - jhas-bwu.com
In this article, the computational Steffensen's method is presented for solving Fredholm
integral equation of the second kind. The scheme is based on open quadrature formulas. A …