An Iterative Scheme for Numerical Solution of Nonlinear Integro-differential Equations
نویسندگان
چکیده
The method of generalized quasilinearization technique when is applied to the nonlinear integrodifferential equations of Volterra type, gives two sequences of linear integro-differential equations with solutions monotonically and quadratically convergent to the solution of nonlinear equation. In this paper we employ step-by-step collocation method to solve the linear equations numerically and then approximate the solution of the nonlinear equation. Error analysis is performed and some numerical examples are given that observe the accuracy of the method.
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