A Shifted Legendre method with residual error estimation for delay linear Fredholm integro-differential equations

Publication date: Available online 11 April 2016 Source:Journal of Taibah University for Science Author(s): Şuayip Yüzbaşi In this paper, we suggest a matrix method for the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients by using the shifted Legendre polynomials. The problem is considered with the mixed conditions. By using the required matrix operations, the delay linear Fredholm integro-differential equation is transformed into a matrix equation. Also, error analysis for method is presented by using the residual function. The illustrative examples are given to demonstrate the efficiency of the method. The obtained results are compared by the known results. Mathematics Subject Classification 45B05; 45L05; 65L03; 34B05; 65L80

Source: Journal of Taibah University for Science - April 30, 2016 Category: Science Source Type: research