Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

From MaRDI portal
Publication:349934

DOI10.1016/j.jcp.2014.12.001zbMath1349.65531OpenAlexW1986915637MaRDI QIDQ349934

Mohsen Zayernouri, George Em. Karniadakis

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.12.001




Related Items (only showing first 100 items - show all)

\(\alpha\)-robust error analysis of two nonuniform schemes for subdiffusion equations with variable-order derivativesFinite difference/collocation method to solve multi term variable‐order fractional reaction–advection–diffusion equation in heterogeneous mediumA numerical method for solving variable‐order fractional diffusion equations using fractional‐order <scp>Taylor</scp> waveletsA fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methodsA numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equationsA Jacobi spectral method for calculating fractional derivative based on mollification regularizationA computational approach to exponential-type variable-order fractional differential equationsJacobian spectral collocation method for spatio-temporal coupled Fokker-Planck equation with variable-order fractional derivativeNumerical schemes for variable exponent fractional‐type integral equationsOn the formulation of a predictor–corrector method to model IVPs with variable‐order Liouville–Caputo‐type derivativesL1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensionsA self-singularity-capturing scheme for fractional differential equationsA cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivativeSpectral element technique for nonlinear fractional evolution equation, stability and convergence analysisUniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domainsNumerical scheme to solve a class of variable-order Hilfer-Prabhakar fractional differential equations with Jacobi wavelets polynomialsEnriched reproducing kernel particle method for fractional advection-diffusion equationVariable-order fractional numerical differentiation for noisy signals by wavelet denoisingFractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis systemA Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential EquationsThe performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equationsAn efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation methodNumerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomialsFractional Buffer Layers: Absorbing Boundary Conditions for Wave PropagationNumerical algorithm for the variable-order Caputo fractional functional differential equationTau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xyloseA uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-orderA Lagrange regularized kernel method for solving multi-dimensional time-fractional heat equationsImplicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space fractional diffusion equationNumerical solution of time fractional diffusion systemsLegendre wavelets optimization method for variable-order fractional Poisson equationA meshless solution for the variable-order time fractional nonlinear Klein-Gordon equationAn efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equationSecond-order finite difference/spectral element formulation for solving the fractional advection-diffusion equationFourth-order numerical method for the space-time tempered fractional diffusion-wave equationNumerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivativeNumerical study on fractional-order Lotka-Volterra model with spectral method and Adams-Bashforth-Moulton methodA meshless method for solving two-dimensional variable-order time fractional advection-diffusion equationImplicit-explicit time integration of nonlinear fractional differential equationsTemporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equationsLocal discontinuous Galerkin method for time variable order fractional differential equations with sub-diffusion and super-diffusionSolving time-fractional reaction-diffusion systems through a tensor-based parallel algorithmFractional spectral and pseudo-spectral methods in unbounded domains: theory and applicationsAn optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equationApplications of variable-order fractional operators: a reviewAnalysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domainsAlternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equationA Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point SingularitiesGeneralized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDEOn an accurate discretization of a variable-order fractional reaction-diffusion equationNumerical simulation for time-fractional diffusion-wave equations with time delayJacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport ModelA meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equationFinite difference scheme for multi-term variable-order fractional diffusion equationMüntz pseudo-spectral method: theory and numerical experimentsApproximation methods for solving fractional equationsMeshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernelLegendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernelA RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equationA unified spectral method for FPDEs with two-sided derivatives. I: A fast solverAn efficient numerical algorithm for solving the two-dimensional fractional cable equationNumerical methods for solving the time-fractional telegraph equationA computational wavelet method for variable-order fractional model of dual phase lag bioheat equationError estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equationNumerical technique for fractional variable-order differential equation of fourth-order with delaySolving Parametric Fractional Differential Equations Arising from the Rough Heston Model Using Quasi-Linearization and Spectral CollocationAnalysis of a numerical method for the solution of time fractional Burgers equationHighly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equationsA computational method for a class of systems of nonlinear variable-order fractional quadratic integral equationsA meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equationFast algorithms for high-dimensional variable-order space-time fractional diffusion equationsDifferential quadrature method for space-fractional diffusion equations on 2D irregular domainsA new numerical method for variable order fractional functional differential equationsA numerical approach for solving a class of variable-order fractional functional integral equationsOn spectral methods for solving variable-order fractional integro-differential equationsA new computational method based on optimization scheme for solving variable-order time fractional Burgers' equationParallel algorithms for nonlinear time-space fractional parabolic PDEsA wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equationFractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domainA compact finite difference scheme for variable order subdiffusion equationA wavelet approach for solving multi-term variable-order time fractional diffusion-wave equationAnalysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equationsA computational method for solving variable-order fractional nonlinear diffusion-wave equationAn improved method for nonlinear variable-order equationThe unique identification of variable-order fractional wave equationsEfficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditionsFractional Sturm-Liouville boundary value problems in unbounded domains: theory and applicationsA new reproducing kernel method for variable order fractional boundary value problems for functional differential equationsA new spectral method using nonstandard singular basis functions for time-fractional differential equationsShifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equationsNEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONSVariable-order fractional calculus: a change of perspectiveMüntz Sturm-Liouville problems: theory and numerical experimentsAn effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization techniqueA wavelet method for nonlinear variable-order time fractional 2D Schrödinger equationFractional-order uniaxial visco-elasto-plastic models for structural analysisApproximate solutions for solving nonlinear variable-order fractional Riccati differential equationsA Petrov-Galerkin spectral element method for fractional elliptic problemsChebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equationsError estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations



Cites Work


This page was built for publication: Fractional spectral collocation methods for linear and nonlinear variable order FPDEs