Numerical solution of Volterra-Fredholm integral equation via hyperbolic basis functions

被引：3

作者：

Esmaeili, Hamid ^{[1
]}

Rostami, Majid ^{[1
]}

Hooshyarbakhsh, Vahideh ^{[2
]}

机构：

[1] Bu Ali Sina Univ, Dept Math, Hamadan, Hamadan, Iran

[2] Islamic Azad Univ, Young Researchers & Elite Club Hamedan Branch, Hamadan, Hamadan, Iran

来源：

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 2021年 / 34卷 / 02期

关键词：

block‐ pulse functions; hyperbolic basis functions; operational matrix; Volterra‐ Fredholm integral equation;

D O I：

10.1002/jnm.2823

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, a new method using hyperbolic basis functions is presented to solve second kind linear Volterra-Fredholm integral equation. In other words, our method approximates the solution of a Volterra-Fredholm integral equation by the hyperbolic basis functions, which produce block-pulse functions. Hence, the new method reduces the linear Volterra-Fredholm integral equation to a system of algebraic equations. Some numerical examples are provided to illustrate the computational efficiency and accuracy of the new method.

引用

页数：11

共 13 条

[1] Al-Jarrah Y., 2013, APPL MATH, V4, P204, DOI DOI 10.4236/AM.2013.41A031
[2] [Anonymous], 1985, COMPUTATIONAL METHOD
[3] Atkinson AE, 1998, INTRO NUMERICAL ANAL
[4] Atkinson AE, 1997, NUMERICAL SOLUTIONS
[5] A numerical method for solving a class of functional and two dimensional integral equations
Babolian, E.
Abbasbandy, S.
Fattahzadeh, F.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (01) : 35 - 43
[6] Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials
Dastjerdi, H. Laeli
Ghaini, F. M. Maalek
[J]. APPLIED MATHEMATICAL MODELLING, 2012, 36 (07) : 3277 - 3282
[7] Ezzati R, 2010, NUMERICAL SOLUTION V
[8] Majeed S.J., 2008, J AL NAHRIAN U, V11, P131
[9] Mirzaee F, 2017, COMPUT METHODS DIFFE, V5, P88
[10] Using operational matrix for solving nonlinear class of mixed Volterra-Fredholm integral equations
Mirzaee, Farshid
Hadadiyan, Elham
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) : 3433 - 3444

← 1 2 →