Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion
出版年份 2019 全文链接
标题
Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion
作者
关键词
-
出版物
Frontiers in Physics
Volume 7, Issue -, Pages -
出版商
Frontiers Media SA
发表日期
2019-07-09
DOI
10.3389/fphy.2019.00093
参考文献
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。- Galerkin finite element schemes with fractional Crank–Nicolson method for the coupled time-fractional nonlinear diffusion system
- (2019) Dileep Kumar et al. computational and applied mathematics
- Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
- (2018) Nan Liu et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A class of time-fractional reaction-diffusion equation with nonlocal boundary condition
- (2018) Yong Zhou et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Weakness and Mittag–Leffler Stability of Solutions for Time-Fractional Keller–Segel Models
- (2018) Y. Zhou et al. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
- An analysis of the Crank–Nicolson method for subdiffusion
- (2017) Bangti Jin et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- A Gronwall inequality for a general Caputo fractional operator
- (2017) Ricardo Almeida MATHEMATICAL INEQUALITIES & APPLICATIONS
- A high-order spectral method for the multi-term time-fractional diffusion equations
- (2016) M. Zheng et al. APPLIED MATHEMATICAL MODELLING
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- (2016) Kolade M. Owolabi CHAOS SOLITONS & FRACTALS
- Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
- (2016) Vahid Reza Hosseini et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Analysis of a meshless method for the time fractional diffusion-wave equation
- (2016) Mehdi Dehghan et al. NUMERICAL ALGORITHMS
- Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing
- (2016) Kim Ngan Le et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Finite element method combined with second-order time discrete scheme for nonlinear fractional Cable equation
- (2016) Yajun Wang et al. European Physical Journal Plus
- Evolution of a mathematical model of an aggressive–invasive cancer under chemotherapy
- (2015) Francisco J. Solis et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A new difference scheme for the time fractional diffusion equation
- (2015) Anatoly A. Alikhanov JOURNAL OF COMPUTATIONAL PHYSICS
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- (2015) Bangti Jin et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A preconditioned fast finite volume scheme for a fractional differential equation discretized on a locally refined composite mesh
- (2015) Jinhong Jia et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Some temporal second order difference schemes for fractional wave equations
- (2015) Hong Sun et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- (2015) Minling Zheng et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Mathematical Modeling of Tumor Growth and Treatment
- (2014) Heiko Enderling et al. CURRENT PHARMACEUTICAL DESIGN
- Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
- (2014) B. Jin et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- (2014) Ya-nan Zhang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A fractional diffusion equation model for cancer tumor
- (2014) Olaniyi Samuel Iyiola et al. AIP Advances
- A new fractional finite volume method for solving the fractional diffusion equation
- (2013) F. Liu et al. APPLIED MATHEMATICAL MODELLING
- Stability and convergence of a finite volume method for the space fractional advection–dispersion equation
- (2013) H. Hejazi et al. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- New development in freefem++
- (2013) F. Hecht Journal of Numerical Mathematics
- A GALERKIN FINITE ELEMENT METHOD TO SOLVE FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS
- (2013) Alaattin Esen et al. Mathematical Modelling and Analysis
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- (2013) Bangti Jin et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- (2012) CHANGPIN LI et al. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
- (2012) FENG JIAO et al. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- A priori estimates for solutions of boundary value problems for fractional-order equations
- (2010) A. A. Alikhanov DIFFERENTIAL EQUATIONS
- Fractional calculus models of complex dynamics in biological tissues
- (2009) Richard L. Magin COMPUTERS & MATHEMATICS WITH APPLICATIONS
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- (2009) ZUZANNA SZYMAŃSKA et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Biophysical models of tumour growth
- (2009) P Tracqui REPORTS ON PROGRESS IN PHYSICS
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- (2009) Xianjuan Li et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows
- (2007) Sashikumaar Ganesan et al. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Find Funding. Review Successful Grants.
Explore over 25,000 new funding opportunities and over 6,000,000 successful grants.
ExploreDiscover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversation