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An Efficient Spectral Approximation for Solving Several Types of Parabolic PDEs with Nonlocal Boundary Conditions
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The problem of solving several types of one-dimensional parabolic partial differential equations (PDEs) subject to the given initial and nonlocal boundary conditions is considered.
The main idea is based on direct collocation and transforming the considered PDEs into their associated algebraic equations.
After approximating the solution in the Legendre matrix form, we use Legendre operational matrix of differentiation for representing the mentioned algebraic equations clearly.
Three numerical illustrations are provided to show the accuracy of the presented scheme.
High accurate results with respect to the Bernstein Tau technique and Sinc collocation method confirm this accuracy.
American Psychological Association (APA)
Tohidi, Emran& Kiliçman, Adem. 2014. An Efficient Spectral Approximation for Solving Several Types of Parabolic PDEs with Nonlocal Boundary Conditions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-466509
Modern Language Association (MLA)
Tohidi, Emran& Kiliçman, Adem. An Efficient Spectral Approximation for Solving Several Types of Parabolic PDEs with Nonlocal Boundary Conditions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-466509
American Medical Association (AMA)
Tohidi, Emran& Kiliçman, Adem. An Efficient Spectral Approximation for Solving Several Types of Parabolic PDEs with Nonlocal Boundary Conditions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-466509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466509