Numerical Solutions of a Class of Nonlinear Volterra Integral Equation
نویسنده
چکیده
We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous funtions over a closed interval. We then use one point collocation methods and quadrature methods with a uniform mesh to construct solutions of the nonlinear VIE. We conclude that the repeated Simpson’s rule gives better solutions when a reasonably large value of the stepsize is used.
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