Applying SEE transform in solving Faltung type Volterra integro-differential equation of first kind

被引：2

作者：

Mansour, Eman A. ^{[1
]}

Kuffi, Emad A. ^{[2
]}

Mehdi, Sadiq A. ^{[1
]}

机构：

[1] Mustansiriyah Univ, Dept Math, Baghdad, Iraq

[2] Al Qadisiyah Univ, Dept Mat Engn, Al Diwaniyah, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 05期

关键词：

Mathematical modeling; Ordinary differential equations; A duopoly economy; Market share;

D O I：

10.1080/09720502.2022.2040848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, SEE (Sadiq-Emad-Eman) integral transform has been used to solve the Faltung type Volterra integro-differential equation of the first kind. The applicability of the SEE integral transform has been demonstrated by solving three numerical applications of the Faltung type Volterra integro-differential equation of the first kind. The results from applying the transform to the numerical applications demonstrate the capability and efficiency of the transform in solving the integro-differential equation.

引用

页码：1315 / 1322

页数：8

共 50 条

[21] Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays
Noori, Seyyedeh Roodabeh Moosavi
Taghizadeh, Nasir
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[22] The variational iteration method for solving the Volterra integro-differential forms of the Lane-Emden equations of the first and the second kind
Wazwaz, Abdul-Majid
JOURNAL OF MATHEMATICAL CHEMISTRY, 2014, 52 (02) : 613 - 626
[23] An algorithm for solving linear Volterra integro-differential equations
Isabella Cravero
Giovanna Pittaluga
Laura Sacripante
Numerical Algorithms, 2012, 60 : 101 - 114
[24] An algorithm for solving linear Volterra integro-differential equations
Cravero, Isabella
Pittaluga, Giovanna
Sacripante, Laura
NUMERICAL ALGORITHMS, 2012, 60 (01) : 101 - 114
[25] Fifth Order Multistep Block Method for Solving Volterra Integro-Differential Equations of Second Kind
Majid, Zanariah Abdul
Mohamed, Nurul Atikah
SAINS MALAYSIANA, 2019, 48 (03): : 677 - 684
[26] A NEW ADOMIAN APPROACH FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS SECOND KIND OF FREDHOLM AND VOLTERRA
Nebie, Abdoul Wassiha
Pare, Youssouf
Yaro, Rasmane
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2020, 22 (01): : 39 - 66
[27] Laguerre approach for solving pantograph-type Volterra integro-differential equations
Yuzbasi, Suayip
APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 : 1183 - 1199
[28] Volterra Type Integro-Differential Equations with Degeneracy
Alexandr I. Kozhanov
Bakhtovar Kh. Barotov
Journal of Mathematical Sciences, 2025, 287 (1) : 69 - 75
[29] APPLICATION OF THE BERNSTEIN POLYNOMIALS FOR SOLVING THE NONLINEAR FRACTIONAL TYPE VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH CAPUTO FRACTIONAL DERIVATIVES
Moussai, Miloud
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2022, 12 (03): : 551 - 568
[30] Initial value problem for first-order integro-differential equation of Volterra type on time scales
Xing, YP
Han, M
Zheng, G
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (03) : 429 - 442

← 1 2 3 4 5 →