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.
Abdel-Latif Ramadan, M. , Raslan, K. M. and Nassear, M. A. E. G. (2015). A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations. Computational Methods for Differential Equations, 3(4), 284-297.
MLA
Abdel-Latif Ramadan, M. , , Raslan, K. M. , and Nassear, M. A. E. G. . "A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations", Computational Methods for Differential Equations, 3, 4, 2015, 284-297.
HARVARD
Abdel-Latif Ramadan, M., Raslan, K. M., Nassear, M. A. E. G. (2015). 'A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations', Computational Methods for Differential Equations, 3(4), pp. 284-297.
CHICAGO
M. Abdel-Latif Ramadan , K. M. Raslan and M. A. E. G. Nassear, "A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations," Computational Methods for Differential Equations, 3 4 (2015): 284-297,
VANCOUVER
Abdel-Latif Ramadan, M., Raslan, K. M., Nassear, M. A. E. G. A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations. Computational Methods for Differential Equations, 2015; 3(4): 284-297.
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