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Browsing by Author "Karimi, Kobra"

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    SPECTRAL METHOD BASED ON BERNSTEIN POLYNOMIALS FOR COUPLED SYSTEM OF FREDHOLM INTEGRAL EQUATIONS
    (2016) Baleanu, Dumitru; Baleanu, Dumitru; Karimi, Kobra; 56389
    In this paper, we apply Bernstein basis to solve the coupled system of Fredholm integral equations (CSFIE). This method transforms the problem to a system of linear algebraic equations that easily solvable. On the other hand, convergence analysis of this method is discussed. the examples show that the proposed method is implemented very simple and the results have high accuracy.
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    Variational iteration method for generalized pantograph equation with convergence analysis
    (2014) Baleanu, Dumitru; Baleanu, Dumitru; Karimi, Kobra; Kumar, Sunil; 56389
    In this paper, we solve generalized pantograph equation by changing the problem to a system of ordinary equations and using the variational iteration method. We discuss convergence of the proposed method to the exact solution. Finally, illustrative examples are given to demonstrate the efficiency of the method.