A NEWLY MODIFIED VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS

作者：Molliq R Yulita^*; Noorani M S M

来源：International Journal of Computational Methods, 2013, 10(5): 1350029.

DOI：10.1142/S0219876213500291

• Variational iteration method
• modified variational iteration method
• nonlinear ODEs
• Lotka-Volterra equations
• KdV equations
• Lagrange multiplier

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.

• 出版日期2013-10