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Number - 1456 |
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| Written
Date -
September 18th, 13 |
| Modified
Date -
September 18th, 13 |
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| Summary |
At present, research on providing new methods to solve nonlinear integral equations
for minimizing the error in the numerical calculations is in progress. In this paper,
necessary conditions for existence and uniqueness of solution for nonlinear 2D
Fredholm integral equations are given. Then, two different numerical solutions are
presented for this kind of equations using 2D shifted Legendre polynomials.
Moreover, some results concerning the error analysis of the best approximation are
obtained. Finally, illustrative examples are included to demonstrate the validity and
applicability of the new techniques. |
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Legendre expansion methods for the numerical solution of nonlinear 2D Fredholm integral equations of the second kind
