A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

By Mehdi Dehghan, Ali Shokri. Mathematics and Computers in Simulation, 2008

399 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c9d06eb3935ef22eccdcdd257c5859cc1ceb58a6

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

1. Mehdi Dehghan
2. Ali Shokri
3. Abdul-Majid Wazwaz
4. S. Yousefi
5. Ali Lotfi
6. Elyas Shivanian
7. Saeid Abbasbandy
8. Mehrdad Lakestani

In Numerical Analysis

1. Mehdi Dehghan
2. Ali Shokri
3. Abdul-Majid Wazwaz
4. Mehrdad Lakestani
5. Abbas Saadatmandi
6. Arezou Ghesmati
7. Jalil Manafian
8. Ali Lotfi

In Statistical and Nonlinear Physics

1. Mehdi Dehghan
2. Abdul-Majid Wazwaz
3. Ali Shokri
4. Awatif A. Hendi
5. Jalil Manafian
6. Mehrdad Lakestani
7. Dumitru Băleanu
8. Hadi Rezazadeh

Citations in the corpus

• A meshless method using the radial basis functions for numerical solution of the regularized long wave equation (2010, methodology): “In a meshless (meshfree) method, a set of scattered nodes are used instead of meshing the domain of the problem [2–7].”
• Multiple soliton solutions for (2 + 1)‐dimensional Sawada–Kotera and Caudrey–Dodd–Gibbon equations (2011, background): “We next substitute u(x, y, t)=R(ln(f (x, y, t)))x, (16)”