A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach

DOI10.1016/J.ENGANABOUND.2023.06.016zbMATH Open1537.651MaRDI QIDQ6539895

Vahid Reza Hosseini, Abbasali Abouei Mehrizi, Hassan Karimi-Maleh, Mastoureh Naddafi

Publication date: 15 May 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

meshfreegeneralized finite difference methodfractional reaction-convection-diffusion equationmoving least squares (MLS) method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Meshless local B-spline-FD method and its application for 2D heat conduction problems with spatially varying thermal conductivity
• Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
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• An \(h\)-adaptive method in the generalized finite differences
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• Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations
• A local radial basis function collocation method for band structure computation of 3D phononic crystals
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• A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory
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• A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
• Solving parabolic and hyperbolic equations by the generalized finite difference method
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• A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions
• The Probability Weighting Function
• An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes
• Local radial basis function interpolation method to simulate 2D fractional‐time convection‐diffusion‐reaction equations with error analysis
• A stable RBF-FD method for solving two-dimensional variable-order time fractional advection-diffusion equation

Related Items (4)

Efficient simulation of two-dimensional time-fractional Navier-Stokes equations using RBF-FD approach ⋮ Ground state solutions for the fractional impulsive differential system with \(\psi\)-Caputo fractional derivative and \(\psi\)-Riemann-Liouville fractional integral ⋮ Meshless analysis of fractional diffusion-wave equations by generalized finite difference method ⋮ A highly accurate method for multi-term time fractional diffusion equation in two dimensions with \(\psi\)-Caputo fractional derivative

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