Numerical solution of Volterra–Fredholm integral equations via modification of hat functions

F Mirzaee, E Hadadiyan - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a new numerical approach is developed for solving linear and nonlinear
Volterra–Fredholm integral equations. The fundamental structure of the presented method is …

Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

F Mirzaee, SF Hoseini - Applied mathematics and computation, 2016 - Elsevier
In this paper, a new matrix method based on Fibonacci polynomials and collocation points is
proposed for numerically solving the Volterra–Fredholm integral equations. In fact, the …

Approximation of solutions through the Fibonacci wavelets and measure of noncompactness to nonlinear Volterra-Fredholm fractional integral equations

SK Paul, LN Mishra - Korean Journal of Mathematics, 2024 - koreascience.kr
This paper consists of two significant aims. The first aim of this paper is to establish the
criteria for the existence of solutions to nonlinear Volterra-Fredholm (VF) fractional integral …

Approximate solution of linear Volterra-Fredholm Integral equations and systems of Volterra-Fredholm integral equations using Taylor expansion method

M Didgar, AR Vahidi - نشریه علوم ریاضی و انفورماتیک, 2020‎ - ijmsi.ir
Approximate Solution of Linear Volterra-Fredholm Integral Equations and Systems of
Volterra-Fredholm Integral Equations using Ta Page 1 Iranian Journal of Mathematical Sciences …

[PDF][PDF] On the solution of Volterra-Fredholm and mixed Volterra-Fredholm integral equations using the new iterative method

H Ibrahim, F Attah, GT Gyegwe - Applied Mathematics, 2016 - academia.edu
In this paper, new iterative method proposed by Daftadar-Gejji and Jafari (2006) was used in
solving both linear and nonlinear Volterra-Fredholm and Mixed Volterra-Fredholm integral …

A new approach for numerical solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm …

F Ghomanjani, MH Farahi, N Pariz - Computational and applied …, 2017 - Springer
In this paper, we present Bezier curves method to solve Volterra delay-integro-differential
equations. Also, this paper is concerned with a linear system with distributed input delay and …

[PDF][PDF] Numerical solution of nonlinear Volterra-Fredholm integral equation by using Chebyshev polynomials

R Ezzati, S Najafalizadeh - 2011 - sid.ir
In this paper, we have used CHEBYSHEV POLYNOMIALS to solve LINEAR AND
NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATION s, numerically. First we …

[HTML][HTML] Numerical simulation for Fredholm integral equation of the second kind

P Guo - Journal of applied mathematics and physics, 2020 - scirp.org
This work mainly focuses on the numerical simulation of the Fredholm integral equation of
the second kind. Applying the idea of Gauss-Lobatto quadrature formula, a numerical …

A Taylor expansion approach using Faà di Bruno's formula for solving nonlinear integral equations of the second and third kind

F Ben Zitoun, Y Cherruault - Kybernetes, 2009 - emerald.com
Purpose–The purpose of this paper is to present a method for solving nonlinear integral
equations of the second and third kind. Design/methodology/approach–The method …

[HTML][HTML] Collocation technique for numerical solution of integral equations with certain orthogonal basis function in interval [0, 1]

OL Babasola - Open Access Library Journal, 2017 - scirp.org
This paper is concerned with the construction of a class of polynomial orthogonal with
respect to the weight function w (x)= 1-x2 over the interval [0, 1]. The zeros of these …