INTRODUCING A NEW APPROACH TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

被引：0

作者：

Tofigh, A. A. Cheraghi ^{[1
]}

Ezzati, R. ^{[1
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 02期

关键词：

block-pulse functions; Volterra-Fredholm integral equations; integral operational matrix; introducing new basis; COMPUTATIONAL METHOD; NUMERICAL-SOLUTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new class of orthogonal basis functions (NOBFs) for solving the nonlinear Volterra-Fredholm integral equations of the second kind (NVFIE2). To do this, first, we construct the operational matrix of integration. Then, by using the proposed method, we reduce the original problem to a nonlinear system of algebraic equations. Finally, to show the applicability of this method, we give some numerical examples.

引用

页码：175 / 187

页数：13

共 50 条

[1] New sinusoidal basis functions and a neural network approach to solve nonlinear Volterra-Fredholm integral equations
Tomasiello, Stefania
Macias-Diaz, Jorge E.
Khastan, Alireza
Alijani, Zahra
NEURAL COMPUTING & APPLICATIONS, 2019, 31 (09): : 4865 - 4878
[2] Hybrid Functions Approach for the Nonlinear Volterra-Fredholm Integral Equations
Hashemizadeh, E.
Maleknejad, K.
Basirat, B.
WORLD CONFERENCE ON INFORMATION TECHNOLOGY (WCIT-2010), 2011, 3
[3] A Simple Approach to Volterra-Fredholm Integral Equations
He, Ji-Huan
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2020, 6 : 1184 - 1186
[4] A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Zarebnia, M.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (01): : 95 - 104
[5] On the Numerical Solutions for Nonlinear Volterra-Fredholm Integral Equations
Darania, Parviz
Pishbin, Saeed
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[6] New computational method for Volterra-Fredholm integral equations
School of Mathematics, Iran Univ. of Science and Technology, Tehran-16, Iran
Comput Math Appl, 9 (1-8):
[7] ABSTRACT STUDY ON NONLINEAR ALEATORY EQUATIONS - INTEGRAL VOLTERRA-FREDHOLM EQUATIONS
KHOAN, VK
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (24): : 1725 - &
[8] Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
Yalçinbas, S
APPLIED MATHEMATICS AND COMPUTATION, 2002, 127 (2-3) : 195 - 206
[9] Legendre wavelets method for the nonlinear Volterra-Fredholm integral equations
Yousefi, S
Razzaghi, M
MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 70 (01) : 1 - 8
[10] A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Wang, Xiaomin
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →