A Hybrid Approach for Systems of Integral Equations
Subject Areas : International Journal of Industrial Mathematicsحعفر بی آزار 1 * , Y. Parvari Moghaddam 2 , kh. Sadri 3
1 - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
2 - Department of Applied Mathematics, University Campus 2, University of Guilan, Rasht, Iran.
3 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
Keywords: Hybrid Method, Operational Matrices, Systems of Fredholm and Volterra integral equations, Existence and uniqueness,
Abstract :
In this paper, we present a computational method for solving systems of Volterra and Fredholm integral equations which is a hybrid approach, based on the third-order Chebyshev polynomials and block-pulse functions which we will refer to as (HBV), for short. The existence and uniqueness of the solutions are addressed. Some examples are provided to clarify the efficiency and accuracy of the method.
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