NUMERICAL SOLUTION OF UNSTEADY FLOW BETWEEN PARALLEL PLATES USING HAAR WAVELET-QUASILINEARIZATION METHOD

H. Karkera, N.N. Katagi

IJPAM: Volume 116, No. 1 (2017)

Title

NUMERICAL SOLUTION OF UNSTEADY FLOW
BETWEEN PARALLEL PLATES USING
HAAR WAVELET-QUASILINEARIZATION METHOD

Authors

Harinakshi Karkera

, Nagaraj N. Katagi

$^{1,2}$ Department of Mathematics
Manipal Institute of Technology
Manipal University
Manipal, 576 104, INDIA

Abstract

The present study is concerned with the analysis of unsteady flow of viscous incompressible fluid between parallel rectangular and circular plates. The Navier-Stokes equations modelling the flow are transformed into a fourth order non-linear ordinary differential equation using a similarity transformation. The resulting equation is solved by a new efficient numerical scheme based on Haar wavelet-quasilinearization method. The solution representing pressure gradient is obtained for large values of Reynolds number. A comparison with numerical results generated by MATLAB routine bvp4c demonstrates that the proposed method is more efficient and promising technique for solving highly nonlinear two-point boundary value problems. The absolute error and rate of convergence of numerical results are computed to test the applicability and accuracy of the method.

History

Received: January 31, 2017
Revised: August 29, 2017
Published: September 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 34A34, 34B15, 65T60
Key Words and Phrases: Haar wavelets, quasilinearization, operational matrix, squeezing flow

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How to Cite?

DOI: 10.12732/ijpam.v116i1.26 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 116
Issue: 1
Pages: 269 - 284

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