A Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed Conditions
Miloud Moussai1 & Lakhdar Chiter2 Show affiliations
- University of M’sila, Algeria
- University of Setif, Algeria
Journal of Mathematics and Statistics, Volume 13, Issue 1, pp. 30–37 · doi.org/10.3844/jmssp.2017.30.37
Abstract
In this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin method, we give an approximate solution. This method seems very attractive and simple to use. Illustrative examples show the efficiency and validity of the method we discuss the results using error analysis, the results are discussed.
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Moussai, M. & Chiter, L. (2017). A Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed Conditions. Journal of Mathematics and Statistics, 13(1), 30–37. https://doi.org/10.3844/jmssp.2017.30.37
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