The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

Nonlinear engineering: Modeling and application

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