Solution of Systems of Nonlinear Weakly-Singular Volterra Integral Equations Via Backward Differentiation Techniques Numerically

Abstract

This paper uses Backward Differentiation Formulas of step (1, 2, 3, 4, 5 and 6) to evaluate a

system of three and two second kind of nonlinear Weakly-Singular Volterra integral equations

numerically. The system is solved by using MATLAB 2014b software. Finally, a number of examples

are proposed to demonstrate the accuracy and effectiveness of this formula.