R. Yulita Molliq, M.S.M. Noorani
This paper presents a new reliable modification of the variational iteration method (MoVIM). An enlarged interval of convergence region of series solutions is obtained by inserting a nonzero auxiliary parameter (h) into the correction functional of variational iteration method. Approximate analytical solutions for some examples of nonlinear problems are obtained using variational iteration method. Comparison with the exact solution, Runge-Kutta method 4, and also another modified variational iteration method has shown that MoVIM is an accurate method for solving nonlinear problems. © 2013 World Scientific Publishing Company.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Medan, UNIMED, 20221 Medan, Sumatera Utara, Indonesia; School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, 43600 Bangi, Selangor, Malaysia
