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2 results on '"third grade fluid equation"'

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

Author

Parand Kourosh and Delkhosh Mehdi

Subjects
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, Engineering (General). Civil engineering (General), TA1-2040
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.

Published
2017
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2. The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

Author

Mehdi Delkhosh and Kourosh Parand

Subjects
Chebyshev polynomials, Computer Networks and Communications, General Chemical Engineering, 34b15, 34l30, 02 engineering and technology, 01 natural sciences, Chebyshev filter, Domain (mathematical analysis), 010305 fluids & plasmas, Physics::Fluid Dynamics, field equation, unsteady isothermal flow of a gas equation, 0103 physical sciences, generalized fractional order of the chebyshev functions, Chebyshev equation, 74s25, Mathematics, 02.60.lj, 34b40, Semi-infinite, Mathematical analysis, General Engineering, Chebyshev iteration, 02.70.jn, 021001 nanoscience & nanotechnology, Engineering (General). Civil engineering (General), semi-infinite domain, Modeling and Simulation, Blasius boundary layer, blasius equation, third grade fluid equation, TA1-2040, 0210 nano-technology, Chebyshev nodes
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.

Published
2017

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