THERMAL SCIENCE

International Scientific Journal

Prashant Pandey

,

Sachin Kumar

,

H. Jafari

,

Subir Das

AN OPERATIONAL MATRIX FOR SOLVING TIME-FRACTIONAL ORDER CAHN-HILLIARD EQUATION

ABSTRACT
In the present scientific work, an operational matrix scheme with Laguerre polynomials is applied to solve a space-time fractional order non-linear Cahn-Hilliard equation, which is used to calculate chemical potential and free energy for a non-homogeneous mixture. Constructing operational matrix for fractional differentiation, the collocation method is applied to convert Cahn-Hilliard equation into an algebraic system of equations, which have been solved using Newton method. The prominent features of the manuscript is to providing the stability analysis of the proposed scheme and the pictorial presentations of numerical solution of the concerned equation for different particular cases and showcasing of the effect of advection and reaction terms on the nature of solute concentration of the considered mathematical model for different particular cases.
KEYWORDS
fractional calculus, Cahn-Hilliard equation, Laguerre polynomials, porous media, convergence analysis
PAPER SUBMITTED: 2019-07-25
PAPER REVISED: 2019-08-30
PAPER ACCEPTED: 2019-09-03
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190725369P
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2045 - S2052]
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An operational matrix for solving time-fractional order Cahn-Hilliard equation

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