Numerical method for solving system of Fredhlom integral equations using Chebyshev cardinal functions

Numerical method for solving system of Fredhlom integral equations using Chebyshev cardinal functions

The focus of this paper is on the numerical solution of linear systems of Fredhlom integral equations of the second kind. For this purpose, the Chebyshev cardinal functions with Gauss-Lobatto points are used. By combination of properties of these functions and the effective Clenshaw-Curtis quadrature rule, an applicable numerical method for solving the mentioned systems is formulated. Some erro...

A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

a direct method for numerically solving integral equations system using orthogonal triangular functions

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chebyshev cardinal functions for solving volterra-fredholm integrodifferential equations using operational matrices

in this paper, an effective direct method to determine the numerical solution of linear and nonlinear fredholm and volterra integral and integro-differential equations is proposed. the method is based on expanding the required approximate solution as the elements of chebyshev cardinal functions. the operational matrices for the integration and product of the chebyshev cardinal functions are des...

a direct method for numerically solving integral equations system using orthogonal triangular functions