A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation

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BELHAMITI OMAR; ABSAR BELKACEM

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Journal: Iranian Journal of Mathematical Chemistry Year:2017 | Volume:8 | Issue:4 Page(s): 345-364

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Information Journal Paper

Title

A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation

Author(s)

BELHAMITI OMAR | ABSAR BELKACEM | Issue Writer Certificate

Keywords

Reverse osmosis desalination systemQ1

Legendre wavelet methodQ1

DQL-techniqueQ1

Caputo fractional derivativeQ1

Abstract

The purpose of this study is to develop a new approach in modeling and simulation of a Reverse osmosis desalination system by using fractional differential equations. Using the Legendre wavelet method combined with the decoupling and quasi-linearization technique, we demonstrate the validity and applicability of our model. Examples are developed to illustrate the fractional differential technique and to highlight the broad applicability and the efficiency of this method. The fractional derivative is described in the Caputo sense.

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APA: Copy

BELHAMITI, OMAR, & ABSAR, BELKACEM. (2017). A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 8(4 ), 345-364. SID. https://sid.ir/paper/205508/en

Vancouver: Copy

BELHAMITI OMAR, ABSAR BELKACEM. A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2017;8(4 ):345-364. Available from: https://sid.ir/paper/205508/en

IEEE: Copy

OMAR BELHAMITI, and BELKACEM ABSAR, “A Numerical Study of Fractional Order Reverse Osmosis Desalination Model using Legendre Wavelet Approximation,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 8, no. 4 , pp. 345–364, 2017, [Online]. Available: https://sid.ir/paper/205508/en

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