Yalçınbaş, Salih Celal Bayar University - Faculty of Science and Arts - Department of Mathematics, Turkey , Akkaya, Tuğçe Celal Bayar University - Faculty of Science and Arts - Department of Mathematics, Turkey , Aynigül, Müge Celal Bayar University - Faculty of Science and Arts - Department of Mathematics, Turkey

Laguerre series solutions of fredholm integral equations

28062

A matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Laguerre series approximation. The method is based on first taking the truncated Laguerre series expansions of the functions in the equation and then substituting their matrix forms into the equation. Thereby the equation reduces to a matrix equation, which corresponds to a linear system of algebraic equations with unknown Laguerre coefficients. In addition, some equations considered by other authors are solved in terms of Laguerre polynomials and the results are compared.

131

Laguerre series , Fredholm integral equations

Erciyes University Journal Of The Institute Of Science an‎d Technology

142