A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics
From MaRDI portal
Publication:6088420
DOI10.1002/num.22499OpenAlexW3042717034WikidataQ114235280 ScholiaQ114235280MaRDI QIDQ6088420
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22499
Related Items (3)
A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation ⋮ Analysis of two-level mesh method for partial integro-differential equation ⋮ Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
- A new fully discrete finite difference/element approximation for fractional cable equation
- A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
- The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method
- The discontinuous Galerkin finite element method for fractional cable equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- An improved meshless algorithm for a kind of fractional cable problem with error estimate
- Radial basis collocation methods for elliptic boundary value problems
- A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis
- Meshfree explicit local radial basis function collocation method for diffusion problems
- A new operational matrix for solving fractional-order differential equations
- Local multiquadric approximation for solving boundary value problems
- Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface
- An improved radial basis-pseudospectral method with hybrid Gaussian-cubic kernels
- The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation
- Improved Kansa RBF method for the solution of nonlinear boundary value problems
- A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis
- Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
- Hybrid Gaussian-cubic radial basis functions for scattered data interpolation
- Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
- A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- An electro-diffusion model for computing membrane potentials and ionic concentrations in branching dendrites, spines and axons
- A comparison of three explicit local meshless methods using radial basis functions
- Galerkin spectral method for nonlinear time fractional cable equation with smooth and nonsmooth solutions
- A new derivative with normal distribution kernel: theory, methods and applications
- Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation
- Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation
- A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
- The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
- Fractional cable problem in the frame of meshless singular boundary method
- The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
- Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
- The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains
- Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
- Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation
- Fractional Cable Equation Models for Anomalous Electrodiffusion in Nerve Cells: Finite Domain Solutions
- Scattered Data Interpolation: Tests of Some Method
- Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Advances in Fractional Calculus
This page was built for publication: A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics