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

Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation

(2020) Ömer Oruç   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

(2019) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation

(2019) Mostafa Abbaszadeh et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fractional cable problem in the frame of meshless singular boundary method

(2019) Mohammad Aslefallah et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains

(2018) M. Hajiketabi et al.   APPLIED MATHEMATICS AND COMPUTATION

An improved meshless algorithm for a kind of fractional cable problem with error estimate

(2018) Elyas Shivanian et al.   CHAOS SOLITONS & FRACTALS

Hybrid Gaussian-cubic radial basis functions for scattered data interpolation

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

Improved Kansa RBF method for the solution of nonlinear boundary value problems

(2018) Malgorzata A. Jankowska et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: Application to the heat equation

(2018) M. Hajiketabi et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis

(2018) Jingang Xiong et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A haar wavelet approximation for two-dimensional time fractional reaction–subdiffusion equation

(2018) Ömer Oruç et al.   ENGINEERING WITH COMPUTERS

Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation

(2018) Yang Liu et al.   NUMERICAL ALGORITHMS

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

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

The solution of nonlinear Green–Naghdi equation arising in water sciences via a meshless method which combines moving kriging interpolation shape functions with the weighted essentially non–oscillatory method

(2018) Mehdi Dehghan et al.   Communications in Nonlinear Science and Numerical Simulation

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

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

A new derivative with normal distribution kernel: Theory, methods and applications

(2017) Abdon Atangana et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators

(2017) Badr Saad T. Alkahtani et al.   Journal of Nonlinear Sciences and Applications

Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition

(2016) Mehdi Dehghan et al.   APPLIED NUMERICAL MATHEMATICS

Analysis of cornea curvature using radial basis functions – Part I: Methodology

(2016) G.W. Griffiths et al.   COMPUTERS IN BIOLOGY AND MEDICINE

A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis

(2016) Hedayat Fatahi et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A unified approach for the numerical solution of time fractional Burgers’ type equations

(2016) A. Esen et al.   European Physical Journal Plus

A new spectral meshless radial point interpolation (SMRPI) method: A well-behaved alternative to the meshless weak forms

(2015) Elyas Shivanian   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface

(2015) Yiu-Chung Hon et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation

(2015) Elyas Shivanian   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The numerical solution of nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation via the meshless method of radial basis functions

(2014) Mehdi Dehghan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation

(2014) Haixiang Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The numerical solution of Fokker–Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa׳s approach and Galerkin method

(2014) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Analysis of meshless local and spectral meshless radial point interpolation (MLRPI and SMRPI) on 3-D nonlinear wave equations

(2014) Elyas Shivanian   OCEAN ENGINEERING

The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

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

A local radial basis function method for advection–diffusion–reaction equations on complexly shaped domains

(2012) Scott A. Sarra   APPLIED MATHEMATICS AND COMPUTATION

The NumPy Array: A Structure for Efficient Numerical Computation

(2011) Stéfan van der Walt et al.   COMPUTING IN SCIENCE & ENGINEERING

A comparison of three explicit local meshless methods using radial basis functions

(2010) Guangming Yao et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Two New Implicit Numerical Methods for the Fractional Cable Equation

(2010) Fawang Liu et al.   Journal of Computational and Nonlinear Dynamics

A new operational matrix for solving fractional-order differential equations

(2009) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS