Numerical solution of the Klein–Gordon equation via He’s variational iteration method
By Fatemeh Shakeri, Mehdi Dehghan. 2007
161 citations recorded by the source corpus.
Subfields: Mechanics of Materials, Modeling and Simulation, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fcdc2d9b7d12f33dc131a75f01adaae7889a371b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
- Mehdi Dehghan
- Ali Shokri
- S. Yousefi
- Ali Lotfi
- Abbas Saadatmandi
- Jalil Manafian
- Elyas Shivanian
- Wen Chen
In Modeling and Simulation
- Mehdi Dehghan
- Abbas Saadatmandi
- Jalil Manafian
- S. Yousefi
- Ali Lotfi
- Ali Shokri
- Ali H. Bhrawy
- Mehrdad Lakestani
In Statistical and Nonlinear Physics
- Mehdi Dehghan
- Jalil Manafian
- Abbas Saadatmandi
- Ali Shokri
- S. Yousefi
- Ali Lotfi
- Mehrdad Lakestani
- Marwan Alquran
Citations in the corpus
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions (2009, methodology): “The Klein–Gordon equation is solved in [37] using the variational iteration method.”
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions (2008, background): “The main idea behind the new approach can be investigated to solve the partial differential equations studied in [42–45].”
- Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, methodology): “Wazwaz [23], examined the KdV, the K(2, 2), the Burgers, and the cubic Boussinesq equations by using variational iteration method (VIM) [40–51].”
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “The variational iteration method is used in [30] for solving the Lane–Emden equation, in [31] to solve several problems in calculus of variations, in [32] to find the solution of an inverse problem in partial differential equations, in [33] to solve a system of nonlinear integro-differential equatio”