Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation
From MaRDI portal
Publication:2144005
DOI10.1186/s13662-019-2475-8zbMath1487.35409OpenAlexW2997856032WikidataQ126460481 ScholiaQ126460481MaRDI QIDQ2144005
Dianchen Lu, Mostafa M. A. Khater, Raghda A. M. Attia, Chun-Gil Park
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2475-8
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
Related Items (10)
An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain ⋮ On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation ⋮ Unconditionally energy stable second-order numerical scheme for the Allen-Cahn equation with a high-order polynomial free energy ⋮ Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme ⋮ Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative ⋮ Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation ⋮ On highly dimensional elastic and nonelastic interaction between internal waves in straight and varying cross-section channels ⋮ A computational procedure for exact solutions of Burgers' hierarchy of nonlinear partial differential equations ⋮ Travelling wave solutions of Wu-Zhang system via dynamic analysis ⋮ ON EXPLICIT WAVE SOLUTIONS OF THE FRACTIONAL NONLINEAR DSW SYSTEM VIA THE MODIFIED KHATER METHOD
Cites Work
- A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region
- On the analysis of fractional diabetes model with exponential law
- An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform
- A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD
- On the accurate discretization of a highly nonlinear boundary value problem
- Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws
- Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
- Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system
- An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma
- Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Analysis and numerical simulation of fractional order Cahn-Allen model with Atangana-Baleanu derivative
- Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation
- A semi-analytical method for transverse vibration of sector-like thin plate with simply supported radial edges
- A hybrid analytical algorithm for nonlinear fractional wave-like equations
This page was built for publication: Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation
