The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations

By Necdet Bildik, A. Konuralp. 2006

321 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0bc03973e4e5c07d746e2e7df15adad9e9d3cd9f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. D. Domiri Ganji
2. A. Sadighi
3. M. Noorani
4. Ishak Hashim
5. Ji-Huan He
6. Elyas Shivanian
7. Saeid Abbasbandy
8. H. Khaleghi

In Numerical Analysis

1. M. Noorani
2. D. Domiri Ganji
3. A. Sadighi
4. Ishak Hashim
5. Ji-Huan He
6. Elyas Shivanian
7. Belal Batiha
8. Saeid Abbasbandy

Citations in the corpus

• A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, unknown): “There are various analytical methods for fractional calculus, among which the variational iteration method [28, 50, 56, 69–75], the homotopy perturbation method [57, 76–92], the fractional complex transform [93–96], Yang-Laplace transform [44–46], and Yang-Fourier transform [44–46] have received muc”
• Application of Variational Iteration and Homotopy-Perturbation Methods to Nonlinear Heat Transfer Equations with Variable Coefficients (2007, methodology): “method and the Adomian decomposition method (ADM) for solving different types of nonlinear partial differential equations was proposed in [19].”
• Application of Variational Iteration Method to a General Riccati Equation (2007, background): “The equations under consideration includes one with variable coefficient and one in matrix form.”
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS (2006, methodology): “Most authors found that the shortcomings arising in Adomian method can be completely eliminated by the variational iteration method.(6,7,17,96,97,103,111,112) To illustrate the basic idea of the variational iteration method, we consider the following general nonlinear system: Lu + Nu = g(x) , (2.”
• Numerical Solution of Bratu-type Equations by the Variational Iteration Method (2010, unknown): “[7] used VIM for solving different types of nonlinear partial differential equations.”
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind (2009, unknown): “Introduction The Topic of the He’s homotopy perturbation method [1–6] has been rapidly growing in recent years [7–23].”