Collocation-based numerical simulation of fractional order Allen-Cahn equation (Q6144522)

scientific article; zbMATH DE number 7796548

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English	Collocation-based numerical simulation of fractional order Allen-Cahn equation	scientific article; zbMATH DE number 7796548

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instance of

scholarly article

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title

Collocation-based numerical simulation of fractional order Allen-Cahn equation (English)

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29 January 2024

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zbMATH Keywords

Allen-Cahn equation

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Caputo derivative

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cubic \(B\)-splines

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convergence

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stability

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10910-023-01525-0

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cites work

On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions

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Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations

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Block implicit Adams methods for fractional differential equations

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On error bounds for spline interpolation

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Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

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Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation

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Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis

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Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions

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A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

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Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation

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B-spline collocation method for the singular-perturbation problem using artificial viscosity

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A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions

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Q5699297

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Fractional differentiation matrices with applications

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A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

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A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation

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Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation

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Accurate and efficient algorithms with unconditional energy stability for the time fractional Cahn–Hilliard and Allen–Cahn equations

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Q3141902

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Numerical simulation of three-dimensional telegraphic equation using cubic B-spline differential quadrature method

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Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Q4233638

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Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations

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Lie symmetries and conservation laws for the time fractional Derrida-Lebowitz-Speer-Spohn equation

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An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method

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Q3141895

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Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations

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New traveling wave exact and approximate solutions for the nonlinear Cahn-Allen equation: evolution of a nonconserved quantity

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New approach for exact solutions of time fractional Cahn-Allen equation and time fractional phi-4 equation

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Travelling wave solutions of the Cahn-Allen equation by using first integral method

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The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations

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Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics

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Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing

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Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model

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Fractional sub-equation method and its applications to nonlinear fractional PDEs

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( <i>G</i> ′/ <i>G</i> )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics

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published in

Journal of Mathematical Chemistry

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10910-023-01525-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6144522