Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method
Borhan F. Jumaa *
Department of Mathematics, College of Science, University of Kirkuk, Kirkuk, Iraq.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider the system of two nonlinear Volterra integral equations of the second kind (SNLVIE-2). We proposed method of Trapezoidal Predictor-Corrector (TRP-PCR) to solve SNLVIE-2. In addition, new algorithm IS introduced. The method is supported by numerical examples and simulations using Matlab. The results are reasonably good when compared with the exact solution.
Keywords: Nonlinear integral equation, Volterra second kind, the trapezoidal rule, predictor-corrector method