A meshless method for solving two-dimensional distributed-order time-fractional cable equation

DOI10.1016/J.AML.2022.108565zbMath1517.65076MaRDI QIDQ6101812

Wei Jiang, Biao Zhang, Zhuoyue Liu, Zihan Yue

Publication date: 20 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

two-dimensionalmeshless methodcable equationdistributed-order differential equationminimum residual solution

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Neural biology (92C20) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
• Analysis of a meshless method for the time fractional diffusion-wave equation
• Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
• A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
• Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
• A least square point of view to reproducing kernel methods to solve functional equations
• A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain
• A new meshless method of solving 2D fractional diffusion-wave equations
• A novel finite element method for the distributed-order time fractional Cable equation in two dimensions
• Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation
• A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains
• Scattered Data Approximation

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