Numerical simulation of fractional evolution model arising in viscoelastic mechanics
type: Item
instance of: scholarly article
title: Numerical simulation of fractional evolution model arising in viscoelastic mechanics
zbMATH Open document ID: 1486.65206
author: Zakieh Avazzadeh
author: Omid Nikan
published in: Applied Numerical Mathematics
publication date: 2021-08-05T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 74Dxx
Mathematics Subject Classification ID: 74S40
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7379332
zbMATH Keywords: fractional evolution problem
zbMATH Keywords: LRBF-PUM
zbMATH Keywords: Crank-Nicolson method
zbMATH Keywords: WSGI formula
zbMATH Keywords: unconditional stability
zbMATH Keywords: error estimate
zbMATH Keywords: energy method
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.07.008
OpenAlex ID: W3185989456
cites work: Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains
cites work: Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model
cites work: A meshfree approach to non-Newtonian free surface ice flow: application to the Haut Glacier d'Arolla
cites work: THE PARTITION OF UNITY METHOD
cites work: Adaptive meshless refinement schemes for RBF-PUM collocation
cites work: Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme
cites work: An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation
cites work: A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation
cites work: Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
cites work: The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
cites work: Numerical solution of time-dependent stochastic partial differential equations using RBF partition of unity collocation method based on finite difference
cites work: Q3446085
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
cites work: A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation
cites work: A stable RBF partition of unity local method for elliptic interface problems in two dimensions
cites work: A general theory of heat conduction with finite wave speeds
cites work: Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
cites work: Preconditioning for radial basis function partition of unity methods
cites work: Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives
cites work: Q5699297
cites work: Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
cites work: Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
cites work: A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
cites work: Discretized Fractional Calculus
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: Q5190149
cites work: Q3223304
cites work: Introduction to fractional differential equations
cites work: An integrodifferential equation for rigid heat conductors with memory
cites work: RBF-PU method for pricing options under the jump-diffusion model with local volatility
cites work: Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow
cites work: Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
cites work: Q3864730
cites work: Q4233638
cites work: A local mesh-less collocation method for solving a class of time-dependent fractional integral equations: 2D fractional evolution equation
cites work: Q3813440
cites work: A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
cites work: A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
cites work: Error estimates and condition numbers for radial basis function interpolation
cites work: Radial basis function partition of unity methods for pricing vanilla basket options
cites work: Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix
cites work: On using radial basis functions in a ``finite difference mode'' with applications to elasticity problems
cites work: Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
cites work: Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
cites work: Q4426083
DOI: 10.1016/J.APNUM.2021.07.008