NUMERICAL METHOD FOR THE NONLINEAR VOLTERRA INTEGRAL EQUATIONS USING PRODUCT INTEGRATION METHOD

NUMERICAL METHOD FOR THE NONLINEAR VOLTERRA INTEGRAL EQUATIONS USING PRODUCT INTEGRATION METHOD

In this paper we introduce and examine a numerical method for solving the Volterra integral equation of the second kind when the kernel function contains a mild singularity. This method represents the solution of proposed integral equations as a series generated by the Adomian decomposition method and coefficients are evaluated by the Simpson product integration technique. We validate the proposed method using some examples and compare numerical and analytical results to show the methodʹs accuracy.