University of Tabriz Computational Methods for Differential Equations 2345-3982 3 4 2015 10 01 A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations 284 297 5430 EN Mohamed Abdel-Latif Ramadan Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Kom, Egypt Kamal. Mohamed Raslan Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt Mahmoud Abd El Ghanny Nassear Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt Journal Article 2016 08 24 The purpose of this study is to present an approximate numerical method for solving high order linear Fredholm-Volterra integro-differential equations in terms of rational Chebyshev functions under the mixed conditions. The method is based on the approximation by the truncated rational Chebyshev series. Finally, the effectiveness of the method is illustrated in several numerical examples. The proposed method is numerically compared with others existing methods where it maintains better accuracy. https://cmde.tabrizu.ac.ir/article_5430_288edd08b120ededf342db7e75540a7b.pdf