Nonlinear engineering: Modeling and application | |
The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain | |
article | |
Kourosh Parand1  Mehdi Delkhosh1  | |
[1] Department of Computer Sciences, Shahid Beheshti University | |
关键词: Generalized fractional order of the Chebyshev functions; Unsteady isothermal flow of a gas equation; Third grade fluid equation; Blasius equation; Field equation; Semi-Infinite domain; | |
DOI : 10.1515/nleng-2017-0030 | |
来源: De Gruyter | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202107200004680ZK.pdf | 322KB | download |