[HTML][HTML] Numerical solution of nonlinear Volterra–Fredholm integro-differential equations via direct method using triangular functions

E Babolian, Z Masouri… - Computers & Mathematics …, 2009 - Elsevier
An effective direct method to determine the numerical solution of the specific nonlinear
Volterra–Fredholm integro-differential equations is proposed. The method is based on new …

Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions.

S Hatamzadeh-Varmazyar… - International Journal of …, 2019 - search.ebscohost.com
A numerical method for solving linear Volterra and Fredholm integral equations of the
second kind is formulated. Based on a special representation of vector forms of triangular …

A Fast and Accurate Expansion-Iterative Method For Solving Second Kind Volterra Entegral Equations.

S Hatamzadeh-Varmazyar… - International Journal of …, 2018 - search.ebscohost.com
This article proposes a fast and accurate expansion-iterative method for solving second kind
linear Volterra integral equations. The method is based on a special representation of vector …

Applying shannon wavelet basis functions to the method of moments for evaluating the radar cross section of the conducting and resistive surfaces

R Danesfahani, S Hatamzadeh, E Babolian… - Progress In …, 2008 - jpier.org
In this paper, we apply the Shannon wavelet basis functions to the method of moments to
evaluate the radar cross section (RCS) of the conducting and resistive surfaces. The …

Application of Reproducing Kernel Method for Solving Nonlinear Fredholm‐Volterra Integrodifferential Equations

O Abu Arqub, M Al-Smadi… - Abstract and Applied …, 2012 - Wiley Online Library
This paper investigates the numerical solution of nonlinear Fredholm‐Volterra integro‐
differential equations using reproducing kernel Hilbert space method. The solution u (x) is …

[PDF][PDF] Recent advances on reliable methods for solving Volterra-Fredholm integral and integro-differential equations

A Hamoud, K Ghadle - Asian journal of mathematics and computer …, 2018 - researchgate.net
This paper mainly focuses on the recent advances in the approximated methods for solving
linear and nonlinear integral and integro-differential equations of the second and the first …

A collocation method based on Bernstein polynomials to solve nonlinear Fredholm–Volterra integro-differential equations

Ş Yüzbaşı - Applied Mathematics and Computation, 2016 - Elsevier
In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

A new approach for numerical solution of integro-differential equations via Haar wavelets

Siraj-ul-Islam, I Aziz, M Fayyaz - International Journal of Computer …, 2013 - Taylor & Francis
A new method is proposed for numerical solution of Fredholm and Volterra integro-
differential equations of second kind. The proposed method is based on Haar wavelets …

The combined modified Laplace with Adomian decomposition method for solving the nonlinear Volterra-Fredholm integro differential equations

AA Hamoud, KP Ghadle - Journal of the Korean Society for …, 2017 - koreascience.kr
A combined form of the modified Laplace Adomian decomposition method (LADM) is
developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential …

Numerical solution of high-order Volterra–Fredholm integro-differential equations by using Legendre collocation method

N Rohaninasab, K Maleknejad, R Ezzati - Applied Mathematics and …, 2018 - Elsevier
The main purpose of this paper is to use the Legendre collocation spectral method for
solving the high-order linear Volterra–Fredholm integro-differential equations under the …