Abstract:
This article discusses the uniqueness and convergence analysis of the new Adomian
decomposition method, modi ed from Adomian decomposition method, to solve
a nonlinear Volterra integral equation of the second kind. Numerical comparison
through two examples shows that the solutions of nonlinear Volterra integral equa-
tions of the second kind obtained through the new Adomian decomposition method
is better than that of Adomian decomposition method.