GÜLSU, Mustafa Mugla University - Faculty of Science - Department of Mathematics, Turkey , ÖZTÜRK, Yalçın Mugla University - Faculty of Science - Department of Mathematics, Turkey

Chebyshev polynomial approximation for solving the second kind linear fredholm integral equation

28077

The purpose of this study is to give a Chebyshev polynomial approximation for the solution of the second kind of Linear Fredholm integral equation. For this purpose, a new Chebyshev matrix method is introduced. This method is based on taking the truncated Chebyshev expansion of the function in the integral equations. Hence, the result matrix equation can be solved and the unknown Chebyshev coefficients can be found approximately. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed.

203

Chebyshev polynomials , Chebyshev series , Chebyshev polynomial solutions , Fredholm integral equations , approximation method

Erciyes University Journal Of The Institute Of Science an‎d Technology

216