Numerical studies for the variable-order nonlinear fractional wave equation

By Nasser Hassan Sweilam, Mohamed M. Khader, H. M. Almarwm. 2012

54 citations recorded by the source corpus.

In this paper, the explicit finite difference method (FDM) is used to study the variable order nonlinear fractional wave equation. The fractional derivative is described in the Riesz sense. Special attention is given to study the stability analysis and the convergence of the proposed method. Numerical test examples are presented to show the efficiency of the proposed numerical scheme.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/593d461566958ab88e65bce0d68bb2b8ce0fe5aa

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. Wen Chen
2. Yan Gu
3. Zhuojia Fu
4. Jinyang Zhang

In Modeling and Simulation

1. Yong Zhang
2. A. Chang
3. Wen Chen
4. Hongguang Sun
5. Dumitru Băleanu
6. Arran Fernandez
7. Ali H. Bhrawy
8. M. A. Zaky

In Numerical Analysis

1. A. Chang
2. Wen Chen
3. Yong Zhang
4. Hongguang Sun
5. Dumitru Băleanu
6. Arran Fernandez

Citations in the corpus

• A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications (2019, methodology): “Furthermore, in terms of the numerical methods, the FDM is used to study the VO nonlinear fractional wave equation in [112].”