Galerkin method for nonlinear volterra-fredholm integro-differential equations based on Chebyshev polynomials
Joint Authors
Abbas, W.
Hisham, A. M. A.
Mustafa, M.
Fathi, Muhammad
Source
Issue
Vol. 2021, Issue 170 (30 Jun. 2021), pp.1-14, 14 p.
Publisher
Helwan University Faculty of Engineering Mataria
Publication Date
2021-06-30
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Topics
Abstract EN
We aim in this paper to develop a new algorithm for approximating the analytic solution for the integrodifferentialequations using the Galerkin method.
The bases of the solution obtained by the proposed algorithmare Chebyshev polynomials.
Meanwhile, some theorems are deducted to simplify the nonlinear algebraic setresulted from applying the Galerkin method, while Newton's method is used to solve the resulting nonlinearalgebraic system.
Examples are introduced to prove the effectiveness of this algorithm in comparison with someother methods.
American Psychological Association (APA)
Abbas, W.& Fathi, Muhammad& Mustafa, M.& Hisham, A. M. A.. 2021. Galerkin method for nonlinear volterra-fredholm integro-differential equations based on Chebyshev polynomials. Engineering Research Journal،Vol. 2021, no. 170, pp.1-14.
https://search.emarefa.net/detail/BIM-1364966
Modern Language Association (MLA)
Abbas, W.…[et al.]. Galerkin method for nonlinear volterra-fredholm integro-differential equations based on Chebyshev polynomials. Engineering Research Journal No. 170 (Jun. 2021), pp.1-14.
https://search.emarefa.net/detail/BIM-1364966
American Medical Association (AMA)
Abbas, W.& Fathi, Muhammad& Mustafa, M.& Hisham, A. M. A.. Galerkin method for nonlinear volterra-fredholm integro-differential equations based on Chebyshev polynomials. Engineering Research Journal. 2021. Vol. 2021, no. 170, pp.1-14.
https://search.emarefa.net/detail/BIM-1364966
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-1364966