Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions

K Parand, JA Rad - Applied Mathematics and Computation, 2012 - Elsevier
A numerical technique based on the spectral method is presented for the solution of
nonlinear Volterra–Fredholm–Hammerstein integral equations. This method is a …

New numerical results on existence of Volterra–Fredholm integral equation of nonlinear boundary integro-differential type

H HamaRashid, HM Srivastava, M Hama… - Symmetry, 2023 - mdpi.com
Symmetry is presented in many works involving differential and integral equations.
Whenever a human is involved in the design of an integral equation, they naturally tend to …

The solution of linear and nonlinear systems of Volterra functional equations using Adomian–Pade technique

M Dehghan, M Shakourifar, A Hamidi - Chaos, Solitons & Fractals, 2009 - Elsevier
The purpose of this study is to implement Adomian–Pade (Modified Adomian–Pade)
technique, which is a combination of Adomian decomposition method (Modified Adomian …

A composite collocation method for the nonlinear mixed Volterra–Fredholm–Hammerstein integral equations

HR Marzban, HR Tabrizidooz, M Razzaghi - Communications in Nonlinear …, 2011 - Elsevier
This paper presents a computational technique for the solution of the nonlinear mixed
Volterra–Fredholm–Hammerstein integral equations. The method is based on the composite …

Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type

H HamaRashid, HM Srivastava, M Hama… - 2023 - earsiv.cankaya.edu.tr
This study is devoted to examine the existence and uniqueness behavior of a nonlinear
integro-di_erential equation of Volterra-Fredholm integral type in continues space. Then, we …

Explicit Frost‐Kalkwarf type equations for calculation of vapour pressure of liquids from triple to critical point by the Adomian decomposition method

H Fatoorehchi, R Rach… - The Canadian Journal of …, 2017 - Wiley Online Library
The general form of explicit, analytical solution of the Frost‐Kalkwarf equation was
developed for the first time by means of the Adomian decomposition method as a reliable …

[HTML][HTML] Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations

N Bildik, A Konuralp, S Yalçınbaş - Computers & Mathematics with …, 2010 - Elsevier
In this study it is shown that the numerical solutions of linear Fredholm integro-differential
equations obtained by using Legendre polynomials can also be found by using the …

[PDF][PDF] Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations

SS Behzadi, S Abbasbandy… - Journal of Applied …, 2012 - jaac-online.com
In this paper, the nonlinear Volterra-Fredholm integro-differential equations are solved by
using the homotopy analysis method (HAM). The approximation solution of this equation is …

Numerical solution of nonlinear Volterra-Fredholm integro-differential equations using Homotopy analysis method

MA Fariborzi Araghi, SS Behzadi - Journal of Applied Mathematics and …, 2011 - Springer
The use of homotopy analysis method to approximate the solution of nonlinear Volterra-
Fredholm integro-differential equation is proposed in this paper. In this case, the existence …

[PDF][PDF] A study of some effective techniques for solving Volterra-Fredholm integral equations

A Hamoud, N Mohammed, K Ghadle - Dynamics of Continuous …, 2019 - academia.edu
1 Introduction Page 1 Dynamics of Continuous, Discrete and Impulsive Systems Series A:
Mathematical Analysis 26 (2019) 389-406 Copyright c 2019 Watam Press http://www.watam.org …