Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials
A numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. The method is based on hybrid functions approximate. The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution o...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/416757 |
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| _version_ | 1841524549461475328 |
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| author | S. H. Behiry |
| author_facet | S. H. Behiry |
| author_sort | S. H. Behiry |
| collection | DOAJ |
| description | A numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. The method is based on hybrid functions approximate. The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method. |
| format | Article |
| id | doaj-art-6bc72dc1417c42d28344bc9b07f7d5cb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6bc72dc1417c42d28344bc9b07f7d5cb2025-02-03T05:53:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/416757416757Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein PolynomialsS. H. Behiry0General Required Courses Department, Jeddah Community College, King Abdulaziz University, Jeddah 21589, Saudi ArabiaA numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. The method is based on hybrid functions approximate. The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method.http://dx.doi.org/10.1155/2013/416757 |
| spellingShingle | S. H. Behiry Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials Abstract and Applied Analysis |
| title | Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials |
| title_full | Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials |
| title_fullStr | Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials |
| title_full_unstemmed | Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials |
| title_short | Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials |
| title_sort | numerical solution of nonlinear fredholm integrodifferential equations by hybrid of block pulse functions and normalized bernstein polynomials |
| url | http://dx.doi.org/10.1155/2013/416757 |
| work_keys_str_mv | AT shbehiry numericalsolutionofnonlinearfredholmintegrodifferentialequationsbyhybridofblockpulsefunctionsandnormalizedbernsteinpolynomials |