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A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations
Joint Authors
Bhrawy, Ali H.
Abdelkawy, M. A.
Baleanu, Dumitru
Doha, E. H.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We solve three versions of nonlinear time-dependent Burgers-type equations.
The Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives.
This approach has the advantage of obtaining the solution in terms of the Jacobi parameters α and β.
In addition, the problem is reduced to the solution of the system of ordinary differential equations (SODEs) in time.
This system may be solved by any standard numerical techniques.
Numerical solutions obtained by this method when compared with the exact solutions reveal that the obtained solutions produce high-accurate results.
Numerical results show that the proposed method is of high accuracy and is efficient to solve the Burgers-type equation.
Also the results demonstrate that the proposed method is a powerful algorithm to solve the nonlinear partial differential equations.
American Psychological Association (APA)
Doha, E. H.& Baleanu, Dumitru& Bhrawy, Ali H.& Abdelkawy, M. A.. 2013. A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-496611
Modern Language Association (MLA)
Doha, E. H.…[et al.]. A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-496611
American Medical Association (AMA)
Doha, E. H.& Baleanu, Dumitru& Bhrawy, Ali H.& Abdelkawy, M. A.. A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-496611
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496611