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Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
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Kourosh Parand
and
Emran Hajizadeh
Published/Copyright:
June 2, 2014
The present study is an attempt to find a solution for steady flow of a third-grade fluid by utilizing spectral methods based on rational Christov functions. This problem is described as a nonlinear twopoint boundary value problem. The following method tries to solve the problem on the infinite domain without truncating it to a finite domain and transforms the domain of the problem to a finite domain. Researchers in this try to solve the problem by using anew modified rational Christov functions and normal rational Christov function. Finally, the findings of the current study, i. e., proposal methods, numerical out cames and other methods were compared with each other.
Keywords : Non-Newtonian Fluids; Third-Grade Fluid; Collocation Method; Rational Christov Functions; Modified Rational Christov Functions; Nonlinear Ordinary Differential Equations
Received: 2013-6-20
Revised: 2014-1-18
Published Online: 2014-6-2
Published in Print: 2014-4-1
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
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Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
