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Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An efficient solution algorithm for sinc-Galerkin method has been presented for obtaining numerical solution of PDEs with Dirichlet-type boundary conditions by using Maple Computer Algebra System.
The method is based on Whittaker cardinal function and uses approximating basis functions and their appropriate derivatives.
In this work, PDEs have been converted to algebraic equation systems with new accurate explicit approximations of inner products without the need to calculate any numeric integrals.
The solution of this system of algebraic equations has been reduced to the solution of a matrix equation system via Maple.
The accuracy of the solutions has been compared with the exact solutions of the test problem.
Computational results indicate that the technique presented in this study is valid for linear partial differential equations with various types of boundary conditions.
American Psychological Association (APA)
Secer, Aydin. 2013. Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-490557
Modern Language Association (MLA)
Secer, Aydin. Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-490557
American Medical Association (AMA)
Secer, Aydin. Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-490557
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490557