The objective of this paper is to present the hybrid variational iteration method. The proposed algorithm is based on the combination of variational iteration and shooting methods. In the proposed algorithm the entire domain is divided into subintervals to establish the accuracy and convergence of the approximate solution. It is found that in each subinterval a three term approximate solution using variational iteration method is sufficient. The proposed hybrid variational iteration method offers not only numerical values, but also closed form analytic solutions in each subinterval. The method is implemented using an example of the Blasius equation. The results show that a hybrid variational iteration method is a powerful technique for solving nonlinear problems.
Sajid, M.; Ali, N.; and Javed, T.
A Hybrid Variational Iteration Method for Blasius Equation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 10,
1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol10/iss1/15