Application of the Legendre wavelets method to the parallel plate flow of a third grade fluid and forced convection in a porous duct
Department of Mathematics and Statistics, International Islamic University, 44000, Islamabad, Pakistan
2 Department of Mathematics, Comsats Institute of Information Technology, 57000, Sahiwal, Pakistan
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Accepted: 26 February 2017
Published online: 22 March 2017
A method based on Legendre wavelets is presented in this paper to discuss the flow of a third grade fluid between parallel plates and the forced convection in a porous duct. The flow problems are modeled in terms of integral equations which are then solved by the Legendre wavelets method. The comparison between present results and the existing solutions shows that the Legendre wavelets method is a powerful tool for solving nonlinear boundary value problems. We hope this method can be used for solving many interesting problems arising in non-Newtonian fluids.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017