Name
Title | ||
|---|---|---|
Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE |
Abstract | ||
|---|---|---|
•This paper introduces a new general class of nonlinear variable order fractional partial differential equations (NVOFPDE) that contains, as special cases, several partial differential equations, such as the nonlinear variable order fractional equations usually denoted as Klein–Gordon, diffusion-wave and convection-diffusion-wave.•Shifted Chebyshev polynomials (SCP) are developed to the new family of basis functions namely generalized shifted Chebyshev polynomials (GSCP).•A new variable order fractional operational matrix in the Caputo type for the GSCP is derived.•A new optimization method based on the GSCP with the help of the Lagrange multipliers is proposed for the NVOFPDE.•The defined GSCP rather SCP needs less basis functions to provide satisfactory results with the same level of accuracy. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cnsns.2020.105229 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Nonlinear variable order fractional partial differential equations,Generalized shifted chebyshev polynomials,Variable order fractional operational matrix | Journal | 85 |
ISSN | Citations | PageRank |
1007-5704 | 1 | 0.37 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. Hassani | 1 | 1 | 0.37 |
| J. A. Tenreiro Machado | 2 | 507 | 85.77 |
| Zakieh Avazzadeh | 3 | 13 | 5.90 |
| E. Naraghirad | 4 | 1 | 0.37 |