[1] G.A. Al-Juaifri, A.J. Harfash, Finite element analysis of nonlinear reaction–diffusion system of
fitzhugh–nagumo type with robin boundary conditions, Math. Comput. Simul. 203 (2023) 486–
517.
[2] J.W. Barrett, J.F. Blowey, An optimal error bound for a finite element approximation of a model for
phase separation of a multi-component alloy with non-smooth free energy, ESAIM: Math. Model.
Numer. Anal. 33 (1999) 971–987.
[3] J.W. Barrett, J.F. Blowey, Finite element approximation of an Allen–Cahn/Cahn–Hilliard system,
IMA J. Numer. Anal. 22 (2002) 11–71.
[4] J.W. Cahn, J.E. Hilliard, Free energy of a nonuniform system. I. interfacial free energy, J. Chem.
Phys. 28 (1958) 258–267.
[5] T. Cazenave, Semilinear Schrodinger Equations, American Mathematical Society, 2003.
[6] J. Ciavaldini, Analyse numerique dun probleme de stefan adeux phases par une methode delements
finis, SIAM J. Numer. Anal. 12 (1975) 464–487.
[7] C.M. Elliott, H. Garcke, On the Cahn–Hilliard equation with degenerate mobility, SIAM J. Math.
Anal. 27 (1996) 404–423.
[8] C.M. Elliott, S. Luckhaus, A generalised diffusion equation for phase separation of a multi-
component mixture with interfacial free energy, MA, Uniersity of Minnesota, preprint 887, 1991.
[9] H. Gomez, V. M. Calo, Y. Bazilevs, T.J. Hughes, Isogeometric analysis of the Cahn–Hilliard
phase-field model, Comput. Methods Appl. Mech. Eng. 197 (2008) 4333–4352.
[10] J.D. Gunton, R. Toral, A. Chakrabarti, Numerical studies of phase separation in models of binary
alloys and polymer blends, Phys. Scripta 33 (1990) 12–19.
[11] N. Habibi and A. Mesforush, Semi-algebraic mode analysis for multigrid method on regular rect-
angular and triangular grids, J. Math. Model. 11 (2023) 547–572.
[12] S.M. Hassan, A.J. Harfash, Finite element analysis of a two-species chemotaxis system with two
chemicals, Appl. Numer. Math. 182 (2022) 148–175.
[13] S.M. Hassan, A.J. Harfash, Finite element approximation of a keller–segel model with additional
self-and cross-diffusion terms and a logistic source, Commun. Nonlinear Sci. Numer. Simul. 104
(2022) 106063.
[14] Y. He, Y. Liu, T. Tang, On large time-stepping methods for the Cahn–Hilliard equation, Appl.
Numer. Math. 57 (2007) 616–628.
[15] M. Izadi, M. Afshar, Solving the basset equation via chebyshev collocation and ldg methods, J.
Math. Model. 9 (2021) 61–79.
[16] M. Jalili, R. Salehi, The approximate solution of one dimensional stochastic evolution equations by
meshless methods, J. Math. Model. 9 (2021) 599–609.
[17] J. Kim, K. Kang, A numerical method for the ternary Cahn–Hilliard system with a degenerate
mobility, Appl. Numer. Math. 59 (2009) 1029–1042.
[18] J. Langer, M. Bar-On, H.D. Miller, New computational method in the theory of spinodal decompo-
sition, Phys. Rev. A 11 (1975) 1417.
[19] A. Mesforush, S. Larsson, A posteriori error analysis for the Cahn-Hilliard equation, J. Math.
Model. 10 (2022) 437–452.
[20] L. Modica, The gradient theory of phase transitions and the minimal interface criterion, Arch.
Rational Mech. Anal. 98 (1987) 123–142.
[21] M. Mohammed, T. Mouhcine, A finite element approximation of a current-induced magnetization
dynamics model, J. Math. Model. 10 (2022) 53–69.
[22] D.M. Saylor, C.-S. Kim, D.V. Patwardhan, J.A. Warren, Diffuse-interface theory for structure
formation and release behavior in controlled drug release systems, Acta Biomater. 3 (2007) 851–
864.
[23] S. Tremaine, On the origin of irregular structure in saturn’s rings, Astrophys. J. 125 (2003) 894.
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