A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations

نویسندگان
Nassear, Mahmoud Abd El Ghanny ID 1
Abdel-Latif Ramadan, Mohamed ID 2
Raslan, Kamal. Mohamed ID 3

1 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

2 Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Kom, Egypt

3 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

doi
چکیده

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.

کلیدواژه‌ها
Rational Chebyshev functions, Fredholm-Volterra integro-differential equations, Collocation method