Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method

Borhan F. Jumaa

doi:10.9734/BJMCS/2017/31131

Research Article Open access CC BY 4.0

Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method

Borhan F. Jumaa

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 21 Jan 2017

10.9734/BJMCS/2017/31131

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.

Nonlinear integral equation Volterra second kind the trapezoidal rule predictor-corrector method

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Borhan F. Jumaa (2017). Solving the System of Two Nonlinear Voltera Intehral Equations of the Second Kind Using the Trapezoidal Predictor – Corrector Method. Journal of Advances in Mathematics and Computer Science , 1–10. https://doi.org/10.9734/BJMCS/2017/31131

Affiliations

Borhan F. Jumaa — Department of Mathematics, College of Science, University of Kirkuk, Kirkuk, Iraq.

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