Finite element solutions for the space fractional diffusion equation with a nonlinear source term

DOI10.1155/2012/596184zbMath1253.65148OpenAlexW2136655753WikidataQ58695644 ScholiaQ58695644MaRDI QIDQ1925396

Yanyan Li

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/596184

zbMATH Keywords

finite element Galerkin solutionsspace fractional diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items

Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model, Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations, Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations, A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain, Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains, Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation, The implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source term, A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation, Exponential integrator methods for systems of non-linear space-fractional models with super-diffusion processes in pattern formation, Quasi solution of a backward space fractional diffusion equation, A numerical method for determining a quasi solution of a backward time-fractional diffusion equation, Efficient time discretization scheme for nonlinear space fractional reaction–diffusion equations

Uses Software

• FODE

Cites Work

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