Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials
A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrices...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/413623 |
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| Summary: | A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse
functions and Bernoulli polynomials are presented. The operational matrices of
integration and product are given. These matrices are then utilized to reduce
the nonlinear mixed Volterra-Fredholm integral equations to the solution of algebraic
equations. Illustrative examples are included to demonstrate the validity
and applicability of the technique. |
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| ISSN: | 2356-6140 1537-744X |