Modified decomposition solution of linear and nonlinear boundary-value problems
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear partial differential equations: for scientists and engineers
Nonlinear partial differential equations: for scientists and engineers
Variational iteration method for autonomous ordinary differential systems
Applied Mathematics and Computation
An analytic study on the third-order dispersive partial differential equations
Applied Mathematics and Computation
An iteration formulation for normalized diode characteristics: Letters to the Editor
International Journal of Circuit Theory and Applications
Variational iteration method for solving Burger's and coupled Burger's equations
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
Variational iteration method: New development and applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Variational iteration method for solving integral equations
Computers & Mathematics with Applications
Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
Journal of Computational and Applied Mathematics
Numerical treatment of stochastic models used in statistical systems and financial markets
Computers & Mathematics with Applications
Rational approximation solution of the fractional Sharma-Tasso-Olever equation
Journal of Computational and Applied Mathematics
Numerical simulations of the Boussinesq equation by He's variational iteration method
International Journal of Computer Mathematics
Variational iteration method for Sturm-Liouville differential equations
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
A piecewise variational iteration method for Riccati differential equations
Computers & Mathematics with Applications
Improvement of He's variational iteration method for solving systems of differential equations
Computers & Mathematics with Applications
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
Computers & Mathematics with Applications
Variational iteration method for solving a generalized pantograph equation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
On singular initial value problems
Neural, Parallel & Scientific Computations - Special issue on computational techniques for differential equations will applications
Application of the variational iteration method for solving nth-order integro-differential equations
Journal of Computational and Applied Mathematics
The variational iteration method for Cauchy problems
Computers & Mathematics with Applications
He's variational iteration method for treating nonlinear singular boundary value problems
Computers & Mathematics with Applications
A modified variational iteration method for solving Riccati differential equations
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Reliable approaches of variational iteration method for nonlinear operators
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
A study on the convergence of variational iteration method
Mathematical and Computer Modelling: An International Journal
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
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In this work we will consider He's variational iteration method for solving second-order initial value problems. We will discuss the use of this approach for solving several important partial differential equations. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. This procedure is a powerful tool for solving the large amount of problems. Using the variational iteration method, it is possible to find the exact solution or an approximate solution of the problem. This technique provides a sequence of functions which converges to the exact solution of the problem. Our emphasis will be on the convergence of the variational iteration method. In the current paper this scheme will be investigated in details and efficiency of the approach will be shown by applying the procedure on several interesting and important models.