In this paper, we introduce a modified variational iteration method for second order initial value problems by transforming the integral of iteration process. The main advantages of this modification are that it can overcome the restriction of the form of nonlinearity term in differential equations and improve the iterative speed of conventional variational iteration method. The method is applied to some nonlinear second order initial value problems and the numerical results reveal that the modified method is accurate and efficient for second order initial value problems.
Modified Variational Iteration Method for Second Order Initial Value Problems,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
3, Article 6.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss3/6