A Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed Conditions

Journal of Mathematics and Statistics

Moussai, Miloud¹ 

关键词: Bernstein Polynomials;    Linear FredholmIntegro-Differential Equations of the First Order;    Mixed Conditions;    Galerkin Method;    Numerical Analysis;    Error Estimates;   

DOI  :  10.3844/jmssp.2017.30.37

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

CC BY