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Numerical solution for systems of two dimensional integral equations by using Jacobi operational collocation method |
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PP: 15-26 |
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Author(s) |
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Abdollah Borhanifar,
Khadijeh Sadri,
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Abstract |
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| In this paper, the numerical solution of two dimensional Fredholm and Volterra integral equations will be investigated.
For this order, two dimensional collocation method is applied to solve system of two dimensional linear and nonlinear Fredholm and
Volterra integral equations. Using the Jacobi polynomials, two dimensional integral equations reduce to a system of algebraic equations.
The main aim is the developing the Jacobi operational matrices of integration and product for the solving system of two dimensional
Fredholm and Volterra integral equations. These matrices together with the collocation method are applied to reduce the solution of
these problems to the solution of a system of algebraic equations. The numerical examples illustrate the efficiency and accuracy of this
method. |
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