New Spectral Second Kind Chebyshev Wavelets Scheme for Solving Systems of Integro-Differential Equations

被引：0

作者：

Sweilam N.H. ^{[1
]}

Nagy A.M. ^{[2
]}

Youssef I.K. ^{[3
]}

Mokhtar M.M. ^{[4
]}

机构：

[1] Department of Mathematics, Faculty of Science, Cairo University, Giza

[2] Department of Mathematics, Faculty of Science, Benha University, Benha

[3] Department of Mathematics, Faculty of Science, Ain Shams University, Cairo

[4] Department of Basic Science, Faculty of Engineering, Modern University for Technology and Information (MTI), Cairo

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 2期

关键词：

Collocation methods; Second kind Chebyshev polynomials; Systems of integro-differential equations; Wavelets;

D O I：

10.1007/s40819-016-0157-8

中图分类号：

学科分类号：

摘要：

In this paper, a spectral scheme based on shifted second kind Chebyshev wavelets collocation method (S2CWCM) is introduced and used for solving systems of integro-differential equations. The main idea for obtaining spectral numerical solutions of these equations is essentially developed by reducing the linear or nonlinear equations with their initial conditions to a system of linear or nonlinear algebraic equations in the unknown expansion coefficients. Convergence analysis and some illustrative examples included, to demonstrate the validity and the applicability of the method. Numerical results obtained are compared favorably with the analytical known solutions. © 2016, Springer India Pvt. Ltd.

引用

页码：333 / 345

页数：12

共 50 条

[1] Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
Zhu, Li
Fan, Qibin
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) : 2333 - 2341
[2] A New Numerical Scheme for Solving Systems of Integro-Differential Equations
Hesameddini, Esmail
Rahimi, Azam
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2013, 1 (02): : 108 - 119
[3] 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
[4] New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second-Order Differential Equations Involving Singular and Bratu Type Equations
Abd-Elhameed, W. M.
Doha, E. H.
Youssri, Y. H.
ABSTRACT AND APPLIED ANALYSIS, 2013,
[5] Legendre wavelets method for solving fractional integro-differential equations
Meng, Zhijun
Wang, Lifeng
Li, Hao
Zhang, Wei
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (06) : 1275 - 1291
[6] Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
Heydari, M. H.
Hooshmandasl, M. R.
Mohammadi, F.
Cattani, C.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (01) : 37 - 48
[7] Numerical solution of nonlinear system of integro-differential equations using Chebyshev wavelets
Aminikhah, H.
Hosseini, S.
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2015, 11 (02) : 15 - 34
[8] Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations
Heydari, M. H.
Razzaghi, M.
Cattani, C.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (03) : 479 - 496
[9] A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
Sweilam, N. H.
Khader, M. M.
ANZIAM JOURNAL, 2010, 51 (04): : 464 - 475
[10] Numerical solutions of fuzzy integro-differential equations of the second kind
Issa, Mohammed S. Bani
Hamoud, Ahmed A.
Ghadle, Kirtiwant P.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (01): : 67 - 74

← 1 2 3 4 5 →