Numerical and Analytical Study for Fourth-Order Integro-Differential Equations Using a Pseudospectral Method
Joint Authors
Kota, W. Y.
Sweilam, Nasser Hassan
Khidr, M. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A numerical method for solving fourth-order integro-differential equations is presented.
Thismethod is based on replacement of the unknown function by a truncated series of well-knownshifted Chebyshev expansion of functions.
An approximate formula of the integer derivative isintroduced.
The introduced method converts the proposed equation by means of collocationpoints to system of algebraic equations with shifted Chebyshev coefficients.
Thus, by solvingthis system of equations, the shifted Chebyshev coefficients are obtained.
Special attention isgiven to study the convergence analysis and derive an upper bound of the error of the presentedapproximate formula.
Numerical results are performed in order to illustrate the usefulness andshow the efficiency and the accuracy of the present work.
American Psychological Association (APA)
Sweilam, Nasser Hassan& Khidr, M. M.& Kota, W. Y.. 2013. Numerical and Analytical Study for Fourth-Order Integro-Differential Equations Using a Pseudospectral Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031894
Modern Language Association (MLA)
Sweilam, Nasser Hassan…[et al.]. Numerical and Analytical Study for Fourth-Order Integro-Differential Equations Using a Pseudospectral Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1031894
American Medical Association (AMA)
Sweilam, Nasser Hassan& Khidr, M. M.& Kota, W. Y.. Numerical and Analytical Study for Fourth-Order Integro-Differential Equations Using a Pseudospectral Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031894