DOI10.1016/j.amc.2009.05.018zbMath1177.65198OpenAlexW2052728710WikidataQ115361702 ScholiaQ115361702MaRDI QIDQ732384
Yang Zhang
Publication date: 9 October 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.018
Efficient Parareal algorithm for solving time-fractional diffusion equation,
Local meshless differential quadrature collocation method for time-fractional PDEs,
High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives,
DeLISA: deep learning based iteration scheme approximation for solving PDEs,
A new reliable algorithm based on the sinc function for the time fractional diffusion equation,
Stability and convergence analysis of a variable order replicator-mutator process in a moving medium,
On the solution of an acoustic wave equation with variable-order derivative loss operator,
A note on fractional Duhamel's principle and its application to a class of fractional partial differential equations,
On the stability and convergence of the time-fractional variable order telegraph equation,
Haar wavelet method for solving fractional partial differential equations numerically,
Numerical approach based on two-dimensional fractional-order Legendre functions for solving fractional differential equations,
Legendre wavelets optimization method for variable-order fractional Poisson equation,
Application of sinc-Galerkin method for solving space-fractional boundary value problems,
Legendre polynomials operational matrix method for solving fractional partial differential equations with variable coefficients,
Numerical solutions to initial and boundary value problems for linear fractional partial differential equations,
Neural network method for solving fractional diffusion equations,
Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer,
Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions,
Application of fractional calculus in the dynamics of beams,
Dynamics of traveling waves of variable order hyperbolic Liouville equation: regulation and control,
Approximate solution for a fuzzy fractional multi-term differential equation by Müntz polynomials,
Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation,
Pell collocation pseudo spectral scheme for one-dimensional time-fractional convection equation with error analysis,
An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays,
A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation,
Improved fractional subequation method and exact solutions to fractional partial differential equations,
A hybrid scheme for time fractional inverse parabolic problem,
A robust higher-order finite difference technique for a time-fractional singularly perturbed problem,
Solution of fractional bioheat equations by finite difference method and HPM,
Generalized differential transform method for nonlinear boundary value problem of fractional order,
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems,
Block pulse operational matrix method for solving fractional partial differential equation,
On the quasi-normal modes of a Schwarzschild white hole for the lower angular momentum and perturbation by non-local fractional operators,
A numerical method for solving boundary value problems for fractional differential equations,
Approximation methods for solving fractional equations,
A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations,
An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations,
A generalized groundwater flow equation using the concept of variable-order derivative,
On the generalized mass transport equation to the concept of variable fractional derivative,
A second order finite difference-spectral method for space fractional diffusion equations,
Integrablization of time fractional PDEs,
A quadrature method for numerical solutions of fractional differential equations,
A stable numerical scheme for a time fractional inverse parabolic equation,
A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations with fractional derivative boundary conditions,
On the consistency of the finite difference approximation with the Riemann-Liouville fractional derivative for \(0 < \alpha < 1\),
A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation,
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation,
An operational matrix method for solving variable-order fractional biharmonic equation,
On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas,
Approximate solution of fractional order Lane-Emden type differential equation by orthonormal Bernoulli's polynomials,
Implicit compact difference schemes for the fractional cable equation,
A note on the inverse problem for a fractional parabolic equation,
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation,
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Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method,
New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense,
Numerical solution of fractional differential equations using Haar wavelet operational matrix method,
Numerical study of time-fractional hyperbolic partial differential equations,
An analysis of a second order difference scheme for the fractional subdiffusion system,
A Fast Second-Order Implicit Difference Method for Time-Space Fractional Advection-Diffusion Equation,
Finite difference schemes for two-dimensional time-space fractional differential equations,
A unified difference-spectral method for time–space fractional diffusion equations,
A posteriori error analysis for a fractional differential equation,
A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique,
Numerical solution of a kind of fractional parabolic equations via two difference schemes,
Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order,
New exact solutions for some fractional order differential equations via improved sub-equation method,
A novel Fourier-based meshless method for \(( 3 + 1 )\)-dimensional fractional partial differential equation with general time-dependent boundary conditions,
Non-linear boundary value problems involving Caputo derivatives of complex fractional order,
An efficient method for solving fractional Riccati equations