A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer

An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences

(2020) Ved Prakash Dubey et al.   Advances in Difference Equations

Nonstandard finite difference method for solving complex-order fractional Burgers’ equations

(2020) N.H. Sweilam et al.   Journal of Advanced Research

Optimal Control of Variable-Order Fractional Model for Delay Cancer Treatments

(2020) N.H. Sweilam et al.   APPLIED MATHEMATICAL MODELLING

Numerical solution of time-fractional fourth-order reactiondiffusion model arising in composite environments

(2020) O. Nikan et al.   APPLIED MATHEMATICAL MODELLING

Reduced order modeling of time-dependent incompressible Navier–Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method

(2020) Mostafa Abbaszadeh et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics

(2020) Ömer Oruç   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics

(2020) O. Nikan et al.   Journal of Advanced Research

Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data

(2020) Nguyen Huy Tuan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation

(2020) Zakieh Avazzadeh et al.   Mathematics

Hybrid Gaussian-cubic radial basis functions for scattered data interpolation

(2018) Pankaj K. Mishra et al.   COMPUTATIONAL GEOSCIENCES

Time fractional modified anomalous sub-diffusion equation with a nonlinear source term through locally applied meshless radial point interpolation

(2018) Elyas Shivanian et al.   MODERN PHYSICS LETTERS B

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels

(2018) Pankaj K. Mishra et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An improved radial basis-pseudospectral method with hybrid Gaussian-cubic kernels

(2017) Pankaj K. Mishra et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

(2017) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term

(2017) Xuenian Cao et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

(2016) Mehdi Dehghan et al.   APPLIED MATHEMATICAL MODELLING

A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations

(2016) Tao Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Improved efficient difference method for the modified anomalous sub-diffusion equation with a nonlinear source term

(2016) Yunfei Li et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

(2016) Na Zhang et al.   Advances in Applied Mathematics and Mechanics

Analytical representation of the relations of inertial diffusion transport

(2015) V. M. Rozenbaum et al.   JETP LETTERS

Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method

(2013) Akbar Mohebbi et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Disentangling Sources of Anomalous Diffusion

(2013) Felix Thiel et al.   PHYSICAL REVIEW LETTERS

Numerical methods and analysis for a class of fractional advection–dispersion models

(2012) F. Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Finite element approximation for a modified anomalous subdiffusion equation

(2011) Q. Liu et al.   APPLIED MATHEMATICAL MODELLING

Finite difference/spectral approximations for the fractional cable equation

(2010) Yumin Lin et al.   MATHEMATICS OF COMPUTATION

Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

(2009) Ping-hui Zhuang et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Anomalous diffusion modeling by fractal and fractional derivatives

(2009) Wen Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Solving nonlinear fractional partial differential equations using the homotopy analysis method

(2009) Mehdi Dehghan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS