Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems.
For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi polynomials is established.
The suggested algorithms are built on utilizing the Galerkin and collocation spectral methods.
Moreover, the principle idea behind these algorithms is based on converting the boundary value problems governed by their boundary conditions into systems of linear or nonlinear algebraic equations which can be efficiently solved by suitable solvers.
We support our algorithms by a careful investigation of the convergence analysis of the suggested nonsymmetric generalized Jacobi expansion.
Some illustrative examples are given for the sake of indicating the high accuracy and efficiency of the two proposed algorithms.
American Psychological Association (APA)
Abd-Elhameed, W. M.. 2015. Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052083
Modern Language Association (MLA)
Abd-Elhameed, W. M.. Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials. Abstract and Applied Analysis No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1052083
American Medical Association (AMA)
Abd-Elhameed, W. M.. Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052083