A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations
Numerical Methods for Partial Differential Equations, vol.27, no.6, pp.1707-1721, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 6
- Publication Date: 2011
- Doi Number: 10.1002/num.20604
- Journal Name: Numerical Methods for Partial Differential Equations
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1707-1721
- Ankara Yıldırım Beyazıt University Affiliated: No
Abstract
In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which correspond to a system of linear algebraic equations with unknown Hermite coefficients, by means of collocation points on a finite interval. Then, by solving the matrix equation, the Hermite coefficients and the polynomial approach are obtained. Also, examples that illustrate the pertinent features of the method are presented; the accuracy of the solutions and the error analysis are performed. © 2010 Wiley Periodicals, Inc.