SHIFTED GEGENBAUER-GAUSS COLLOCATION METHOD FOR SOLVING FRACTIONAL NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS

被引：18

作者：

Hafez, R. M. ^{[1
]}

Youssri, Y. H. ^{[2
]}

机构：

[1] Matrouh Univ, Fac Educ, Dept Math, Matrouh, Egypt

[2] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 06期

关键词：

Neutral fractional functional-differential equations; proportional delay; collocation method; shifted Gegenbauer-Gauss quadrature; shifted Gegenbauer polynomials; INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; CALCULUS; ORDER;

D O I：

10.46793/KgJMat2206.981H

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the shifted Gegenbauer-Gauss collocation (SGGC) method is applied to fractional neutral functional-differential equations with proportional delays. The technique we have used is based on shifted Gegenbauer polynomials and Gauss quadrature integration. The shifted Gegenbauer-Gauss method reduces solving the generalized fractional pantograph equation fractional neutral functional-differential equations to a system of algebraic equations. Reasonable numerical results are obtained by selecting few shifted Gegenbauer-Gauss collocation points. Numerical results demonstrate its accuracy, and versatility of the proposed techniques.

引用

页码：981 / 996

页数：16

共 50 条

[1] A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays
Bhrawy, Ali H.
Assas, Laila M.
Tohidi, Emran
Alghamdi, Mohammed A.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[2] A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays
Ali H Bhrawy
Laila M Assas
Emran Tohidi
Mohammed A Alghamdi
[J]. Advances in Difference Equations, 2013
[3] A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations
Bhrawy, A. H.
Alghamdi, M. A.
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
[4] The RKHSM for solving neutral functional-differential equations with proportional delays
Lv, Xueqin
Gao, Yue
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (06) : 642 - 649
[5] On the Attainable Order of Collocation Methods for the Neutral Functional-Differential Equations with Proportional Delays
Emiko Ishiwata
[J]. Computing, 2000, 64 : 207 - 222
[6] On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays
Ishiwata, E
[J]. COMPUTING, 2000, 64 (03) : 207 - 222
[7] On neutral functional-differential equations with proportional delays
Iserles, A
Liu, YK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 207 (01) : 73 - 95
[8] On a symbolic method for neutral functional-differential equations with proportional delays
Thota, Srinivasarao
Shanmugasundaram, P.
[J]. COGENT MATHEMATICS & STATISTICS, 2020, 7
[9] The variational iteration method for solving a neutral functional-differential equation with proportional delays
Chen, Xumei
Wang, Linjun
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) : 2696 - 2702
[10] Modified variational iteration method for solving a neutral functional-differential equation with proportional delays
Ghaneai, H.
Hosseini, M. M.
Mohyud-Din, Syed Tauseef
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (08) : 1086 - 1095

← 1 2 3 4 5 →