DOI10.1016/j.cam.2014.07.029zbMath1298.35242OpenAlexW2035830378MaRDI QIDQ457724
J. Herrera, D. Rodríguez-Gómez
Publication date: 29 September 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2014.07.029
A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition,
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications,
Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations,
A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations,
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation,
Numerical approach for a class of distributed order time fractional partial differential equations,
Some high-order difference schemes for the distributed-order differential equations,
Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain,
A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation,
Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law,
A Legendre collocation method for distributed-order fractional optimal control problems,
Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations,
Finite difference/finite element methods for distributed-order time fractional diffusion equations,
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?,
Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems,
Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations,
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel,
Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline,
A semi-linear delayed diffusion-wave system with distributed order in time,
Mathematical modelling and analysis of two-component system with Caputo fractional derivative order,
Numerical treatment of fractional order Cauchy reaction diffusion equations,
Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions,
The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation,
Distributed order model of labor migration,
A fast Alikhanov algorithm with general nonuniform time steps for a two‐dimensional distributed‐order time–space fractional advection–dispersion equation,
A study of distributed‐order time fractional diffusion models with continuous distribution weight functions,
A fully discrete LDG method for the distributed-order time-fractional reaction-diffusion equation,
Chebyshev Spectral Approximation for Diffusion Equations with Distributed Order in Time,
A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations,
An improved numerical technique for distributed‐order time‐fractional diffusion equations,
A novel distributed order time fractional model for heat conduction, anomalous diffusion, and viscoelastic flow problems,
Modified methods for solving two classes of distributed order linear fractional differential equations,
An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation,
The well-posedness for the distributed-order wave equation on \(\mathbb{R}^N\),
A numerical method for solving distributed order diffusion equations,
A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions,
A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation,
A novel finite volume method for the Riesz space distributed-order diffusion equation,
Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions,
A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients,
An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions,
Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term,
Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE),
A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations,
A backward problem for distributed order diffusion equation: uniqueness and numerical solution,
A pseudo-spectral method for time distributed order two-sided space fractional differential equations,
Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System,
On a class of non-linear delay distributed order fractional diffusion equations,
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method,
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order,
Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations,
A class of efficient difference method for time fractional reaction-diffusion equation,
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations,
An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions,
Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations,
Algebraic Conditions for Stability Analysis of Linear Time‐Invariant Distributed Order Dynamic Systems: A Lagrange Inversion Theorem Approach,
Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation,
WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation,
Analytical solutions of fractional order diffusion equations by natural transform method,
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation,
Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay,
Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations,
Fractional Pennes' bioheat equation: theoretical and numerical studies,
Space-time finite element method for the distributed-order time fractional reaction diffusion equations,
Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation,
Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation,
Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order,
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations,
Numerical approximation of time-fractional Burgers-type equation,
A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation,
ILC with initial state learning for fractional order linear distributed parameter systems,
Fractional integro-differential sliding mode control of a class of distributed-order nonlinear systems,
Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations,
Numerical methods for fractional partial differential equations,
Fractional pseudo-spectral methods for distributed-order fractional PDEs,
Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data