相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
Mahmoud A. Zaky
COMPUTATIONAL & APPLIED MATHEMATICS (2018)
An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
Mahmoud A. Zaky
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2018)
Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
Guang-an Zou et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2018)
Error estimates of a semidiscrete finite element method for fractional stochastic diffusion-wave equations
Guang-an Zou et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2018)
Dynamics of a Stochastic Fractional Reaction-Diffusion Equation
Linfang Liu et al.
TAIWANESE JOURNAL OF MATHEMATICS (2018)
EXISTENCE AND REGULARITY OF MILD SOLUTIONS TO FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS
G. A. Zou et al.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA (2018)
Stochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach
Changho Kim et al.
JOURNAL OF CHEMICAL PHYSICS (2017)
FINITE ELEMENT METHODS FOR THE STOCHASTIC ALLEN-CAHN EQUATION WITH GRADIENT-TYPE MULTIPLICATIVE NOISE
Xiaobing Feng et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2017)
Stochastic Burgers' equation with fractional derivative driven by multiplicative noise
Guang-an Zou et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2017)
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrodinger equations
A. H. Bhrawy et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2017)
An improved collocation method for multi-dimensional space-time variable-order fractional Schrodinger equations
A. H. Bhrawy et al.
APPLIED NUMERICAL MATHEMATICS (2017)
Existence and Uniqueness of Invariant Measures for Stochastic Reaction-Diffusion Equations in Unbounded Domains
Oleksandr Misiats et al.
JOURNAL OF THEORETICAL PROBABILITY (2016)
Efficient Legendre spectral tau algorithm for solving the two-sided space-time Caputo fractional advection-dispersion equation
A. H. Bhrawy et al.
JOURNAL OF VIBRATION AND CONTROL (2016)
Well-posedness and dynamics of the stochastic fractional magneto-hydrodynamic equations
Jianhua Huang et al.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2016)
Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrodinger equations
Ali H. Bhrawy et al.
NONLINEAR DYNAMICS (2016)
Dynamics for a stochastic reaction-diffusion equation with additive noise
Daomin Cao et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2015)
Fractional time stochastic partial differential equations
Zhen-Qing Chen et al.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2015)
Space-time fractional stochastic partial differential equations
Jebessa B. Mijena et al.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2015)
Multiscale Stochastic Reaction-Diffusion Modeling: Application to Actin Dynamics in Filopodia
Radek Erban et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2014)
A Comparison of Bimolecular Reaction Models for Stochastic Reaction-Diffusion Systems
I. C. Agbanusi et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2014)
An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
Shuying Zhai et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2014)
A Runge-Kutta type scheme for nonlinear stochastic partial differential equations with multiplicative trace class noise
Xiaojie Wang et al.
NUMERICAL ALGORITHMS (2013)
THE USE OF FINITE DIFFERENCE/ELEMENT APPROACHES FOR SOLVING THE TIME-FRACTIONAL SUBDIFFUSION EQUATION
Fanhai Zeng et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)
Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation
Kaiying Deng et al.
APPLIED MATHEMATICS LETTERS (2012)
Towards a minimal stochastic model for a large class of diffusion-reactions on biological membranes
Michael W. Chevalier et al.
JOURNAL OF CHEMICAL PHYSICS (2012)
Continuous dependence on the coefficients and global existence for stochastic reaction diffusion equations
Markus Kunze et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2012)
Recent history of fractional calculus
J. Tenreiro Machado et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2011)
Exact on-lattice stochastic reaction-diffusion simulations using partial-propensity methods
Rajesh Ramaswamy et al.
JOURNAL OF CHEMICAL PHYSICS (2011)
The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds
P. E. Kloeden et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2011)
High-order finite element methods for time-fractional partial differential equations
Yingjun Jiang et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2011)
Flexible single molecule simulation of reaction-diffusion processes
Stefan Hellander et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains
Zhaojuan Wang et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2011)
Mittag-Leffler Functions and Their Applications
H. J. Haubold et al.
JOURNAL OF APPLIED MATHEMATICS (2011)
An adaptive algorithm for simulation of stochastic reaction-diffusion processes
Lars Ferm et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
Random attractors for stochastic reaction-diffusion equations on unbounded domains
Peter W. Bates et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2009)
SIMULATION OF STOCHASTIC REACTION-DIFFUSION PROCESSES ON UNSTRUCTURED MESHES
Stefan Engblom et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2009)
Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
Yangrong Li et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2008)
NUMERICAL ALGORITHM FOR CALCULATING THE GENERALIZED MITTAG-LEFFLER FUNCTION
Hansjoerg Seybold et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)
FAST MONTE CARLO SIMULATION METHODS FOR BIOLOGICAL REACTION-DIFFUSION SYSTEMS IN SOLUTION AND ON SURFACES
Rex A. Kerr et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2008)
Time discretization of an evolution equation via Laplace transforms
W McLean et al.
IMA JOURNAL OF NUMERICAL ANALYSIS (2004)
Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
S Cerrai
PROBABILITY THEORY AND RELATED FIELDS (2003)