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A new computational approach for solving nonlinear local fractional PDEs
- Source :
- Journal of Computational and Applied Mathematics. 339:285-296
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- In this article, we propose a new factorization technique for nonlinear ODEs involving local fractional derivatives for the first time. By making use of the traveling-wave transformation, the exact solutions for nonlinear local fractional FitzHugh–Nagumo and Newell–Whitehead equations are given. The obtained results illustrate that the proposed method is efficient and accurate for finding the exact solutions for a class of local fractional PDEs occurring in mathematical physics.
- Subjects :
- Class (set theory)
Applied Mathematics
010102 general mathematics
Mathematical analysis
01 natural sciences
010305 fluids & plasmas
Fractional calculus
Computational Mathematics
Nonlinear system
Transformation (function)
Factorization
0103 physical sciences
Applied mathematics
0101 mathematics
Mathematics
Nonlinear ode
Subjects
Details
- ISSN :
- 03770427
- Volume :
- 339
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Applied Mathematics
- Accession number :
- edsair.doi...........2089c62065e5578e027115b2fda99d38
- Full Text :
- https://doi.org/10.1016/j.cam.2017.10.007