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Hussain, Safdar; Haq, Fazal; Shah, Abdullah; Abduvalieva, Dilsora; Shokri, Ali

Comparison of approximate analytical and numerical solutions of the Allen Cahn equation. (English) Zbl 07905674

Int. J. Differ. Equ. 2024, Article ID 8835138, 9 p. (2024).

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35C07 Traveling wave solutions
35K55 Nonlinear parabolic equations
35A20 Analyticity in context of PDEs
80A22 Stefan problems, phase changes, etc.

Keywords:

Allen Cahn equation; approximate analytical solutions; numerical solutions
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References:

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