Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
By Mehdi Dehghan. Mathematics and Computers in Simulation, 2006
460 citations recorded by the source corpus.
Subfields: Electrical and Electronic Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/972ab0907bd4172f78e8b5ece693aff399239fce
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Electrical and Electronic Engineering
- Ali Shokri
- Junseok Kim
- Mehrdad Lakestani
- Abbas Saadatmandi
- Arezou Ghesmati
- Rezvan Salehi
- Ramesh Chand Mittal
- R. Jain
In Numerical Analysis
- Mehdi Dehghan
- Mehrdad Lakestani
- S. Yousefi
- Ali Lotfi
- Abbas Saadatmandi
- Arezou Ghesmati
- Ali Shokri
- Mohsen Razzaghi
Citations in the corpus
- The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation (2009, methodology): “A compact finite difference approximation [8] of fourth order for discretizing spatial derivative of linear hyperbolic equation and collocation method for the time component are used in their work.”
- A meshless method using the radial basis functions for numerical solution of the regularized long wave equation (2010, methodology): “Even though these methods are very effective for solving various kinds of partial differential equations, conditional stability of explicit finite difference procedures and the need to use large amount of CPU time in implicit finite difference schemes limit the applicability of these methods [1].”
- A Legendre collocation method for fractional integro-differential equations (2011, background): “As a result a set of algebraic equations is formed (Dehghan, 2006) and the solution to the considered problem is introduced.”
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions (2008, methodology): “Due to its simplicity to implement, it represents an attractive alternative to the finite-difference [11,39–41] method (FDM), the finite-element method (FEM) and the boundary-element method (BEM) as a solution method of nonlinear differential equations.”
- A numerical method for solving the hyperbolic telegraph equation (2008, methodology): “Furthermore, these methods provide the solution of the problem on mesh points only [14] and accuracy of these well known techniques is reduced in non-smooth and nonregular domains.”