A new algorithm for calculating Adomian polynomials for nonlinear operators
Applied Mathematics and Computation
Variational iteration method for autonomous ordinary differential systems
Applied Mathematics and Computation
Variational iteration method for solving Burger's and coupled Burger's equations
Journal of Computational and Applied Mathematics
Variational iteration method: New development and applications
Computers & Mathematics with Applications
Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
Journal of Computational and Applied Mathematics
Approximate analytical solution for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
Journal of Computational and Applied Mathematics
A piecewise variational iteration method for Riccati differential equations
Computers & Mathematics with Applications
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
VIM for solving the pollution problem of a system of lakes
Journal of Control Science and Engineering
An efficient approach for solving the Riccati equation with fractional orders
Computers & Mathematics with Applications
A new stochastic approach for solution of Riccati differential equation of fractional order
Annals of Mathematics and Artificial Intelligence
Mathematical and Computer Modelling: An International Journal
Computers & Mathematics with Applications
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In this paper, the quadratic Riccati differential equation is solved by He's variational iteration method with considering Adomian's polynomials. Comparisons were made between Adomian's decomposition method (ADM), homotopy perturbation method (HPM) and the exact solution. In this application, we do not have secular terms, and if @l, Lagrange multiplier, is equal -1 then the Adomian's decomposition method is obtained. The results reveal that the proposed method is very effective and simple and can be applied for other nonlinear problems.