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The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain
- Source :
- Nonlinear Engineering, Vol 6, Iss 3, Pp 229-240 (2017)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
Abstract
- A new collocation method, namely the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) collocation method, is given for solving some nonlinear boundary value problems in the semi-infinite domain, such as equations of the unsteady isothermal flow of a gas, the third grade fluid, the Blasius, and the field equation determining the vortex profile. The method reduces the solution of the problem to the solution of a nonlinear system of algebraic equations. To illustrate the reliability of the method, the numerical results of the present method are compared with several numerical results.
Details
- Language :
- English
- ISSN :
- 21928010 and 21928029
- Volume :
- 6
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Nonlinear Engineering
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.0c2a8f9a75a44eef9596d9c90d99ac96
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/nleng-2017-0030