NUMERICAL SOLUTION OF SYSTEM OF NONLINEAR VOLTERRA INTEGRAL EQUATION OF SECOND KIND USING PREDICTOR CORRECTOR METHOD OF FIFTH ORDER

Advisor: Naol Tufa (PhD) Abstract This paper presents numerical solution of system of non-linear volterra integral equation of the second kind using predictor corrector method (P-CM) of fifth order. The two multistep method Adams-Bashforth and Adams-moulton method are applied. The convergence and stability of the method are proved. The numerical solutions are in a good agreement with exact solutions. Fifth order runge kutta method (RK5) for solving system of non-linear volterra integral equation of second kind is done for predictor corrector method. The two model examples system of non-linear volterra integral equations are given to demonstrate reliability and efficiency of the methods. The numerical results have been tabulated for different mesh size and presented in the graph. Key words: System of non-linear volterra integral equation, Predictor –corrector method, Stability analysis