Approximate Solution of Nonlinear Fredholm Integral Equations of the First Kind via Converting to Optimization Problems

In this paper we introduce an approach via optimization methods to find approximate solutions for nonlinear Fredholm integral equations of the first kind. To this purpose, we consider two stages of approximation. First we convert the integral equation to a moment problem and then we modify the new problem to two classes of optimization problems, non-constraint optimization problems and optimal control problems. Finally numerical examples is proposed.

Authors:

• Akbar H. Borzabadi
• Omid S. Fard

Keywords:

• Fredholm integral equation
• Optimization method
• Optimal control
• Nonlinear and linear programming

References:

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