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Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems
Joint Authors
Bassuony, Mahmoud A.
Abd-Elhameed, W. M.
Doha, E. H.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Two numerical algorithms based on dual-Petrov-Galerkin method are developed for solving the integrated forms of high odd-order boundary value problems (BVPs) governed by homogeneous and nonhomogeneous boundary conditions.
Two different choices of trial functions and test functions which satisfy the underlying boundary conditions of the differential equations and the dual boundary conditions are used for this purpose.
These choices lead to linear systems with specially structured matrices that can be efficiently inverted, hence greatly reducing the cost.
The various matrix systems resulting from these discretizations are carefully investigated, especially their complexities and their condition numbers.
Numerical results are given to illustrate the efficiency of the proposed algorithms, and some comparisons with some other methods are made.
American Psychological Association (APA)
Abd-Elhameed, W. M.& Doha, E. H.& Bassuony, Mahmoud A.. 2014. Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049171
Modern Language Association (MLA)
Abd-Elhameed, W. M.…[et al.]. Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1049171
American Medical Association (AMA)
Abd-Elhameed, W. M.& Doha, E. H.& Bassuony, Mahmoud A.. Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049171