Adapting semi-analytical treatments to the time-fractional derivative Gardner and Cahn-Hilliard equations

Adapting semi-analytical treatments to the time-fractional derivative Gardner and Cahn-Hilliard equations

This paper used the flexible and efficient least squares residual power series method (LSRPSM) to solve the time-fractional derivative Cahn-Hilliard and Gardener equations. The LSRPSM combines the residual power series method (RPSM) and the least squares method. These calculations were found based o...

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Bibliographic Details
Main Authors: A. Hassan, A.A.M. Arafa, S.Z. Rida, M.A. Dagher, H.M. El Sherbiny
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Alexandria Engineering Journal
Subjects:
Fractional derivatives
Least squares approximations
Fractional Wronskian
Residual power series method
Cahn-Hilliard equation
Gardner equation
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823011481
Description
Summary:This paper used the flexible and efficient least squares residual power series method (LSRPSM) to solve the time-fractional derivative Cahn-Hilliard and Gardener equations. The LSRPSM combines the residual power series method (RPSM) and the least squares method. These calculations were found based on Caputo's sense and the fractional Wronskian concept. Approximate solutions are found more accurately, faster, and with fewer expansion terms than the classical (RPS) method.
ISSN:1110-0168

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