Two novel computational techniques for fractional Gardner and Cahn‐Hilliard equations. Issue 2 (3rd April 2019)

• Record Type: Journal Article
• Authors: Prakasha, D. G.; Veeresha, P.; Baskonus, Haci Mehmet
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 2(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-04-03
• Subjects: fractional Cahn‐Hilliard equation -- fractional Gardner equation -- fractional natural decomposition method -- q‐homotopy analysis transform method; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1021
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional natural decomposition method (FNDM) and q ‐homotopy analysis transform method ( q ‐HATM). Both featured techniques are different from each other since FNDM is algorithmic by the aid of Adomian polynomial and q ‐HATM is defined by the help of homotopy polynomial. The numerical simulations have been conducted to verify that the proposed schemes are reliable and accurate. The outcomes are revealed through the plots and tables. The comparison of solution obtained by proposed schemes with the available solutions exhibits that both the featured schemes are methodical, efficient, and very exact in solving the nonlinear complex phenomena.