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

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.

Keywords

• 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
• 02.60.lj
• 02.70.jn
• 34b15
• 34b40
• 74s25
• 34l30