Barycentric-Legendre interpolation method for solving two-dimensional fractional cable equation in neuronal dynamics

DOI10.1007/s40819-022-01273-wOpenAlexW4220832679MaRDI QIDQ2144722

A. Rezazadeh, Zakieh Avazzadeh

Publication date: 14 June 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01273-w

zbMATH Keywords

operational matrixshifted Legendre polynomialsRiemann-Liouville fractional derivativeCaputo fractional derivativefractional cable equationbarycenteric interpolation method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

• Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
• The discontinuous Galerkin finite element method for fractional cable equation
• A numerical technique for solving fractional optimal control problems
• On Riemann and Caputo fractional differences
• An improved meshless algorithm for a kind of fractional cable problem with error estimate
• Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
• Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
• Legendre polynomials operational matrix method for solving fractional partial differential equations with variable coefficients
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• A two-grid parallel partition of unity finite element scheme
• An electro-diffusion model for computing membrane potentials and ionic concentrations in branching dendrites, spines and axons
• A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems
• Galerkin spectral method for nonlinear time fractional cable equation with smooth and nonsmooth solutions
• PDE-constrained optimization in medical image analysis
• A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
• A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals
• Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• Fractional cable problem in the frame of meshless singular boundary method
• Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
• Barycentric rational interpolation with no poles and high rates of approximation
• A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation
• A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation
• Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
• Barycentric Lagrange Interpolation
• Numerical approach for solving two dimensional fractal-fractional PDEs using peridynamic method
• A steady barycentric Lagrange interpolation method for the 2D higher‐order time‐fractional telegraph equation with nonlocal boundary condition with error analysis
• Method of Lagrangian curvilinear interpolation
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