A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

DOI10.1016/j.enganabound.2021.03.006zbMath1464.65144OpenAlexW3151534546MaRDI QIDQ2662427

M. Hosseininia, Zakieh Avazzadeh, F. M. Maalek Ghaini, Mohammad Heydari

Publication date: 13 April 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.03.006

zbMATH Keywords

radial basis functionsreaction-advection-diffusion equationHeydari-Hosseininia fractional derivativeorthogonal Bernoulli polynomials

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical radial basis function approximation (65D12)

Related Items (7)

Barycentric-Legendre interpolation method for solving two-dimensional fractional cable equation in neuronal dynamics ⋮ Meshfree methods for the variable-order fractional advection-diffusion equation ⋮ Generalized Bernoulli-Laguerre polynomials: applications in coupled nonlinear system of variable-order fractional PDEs ⋮ An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations ⋮ Semi-analytic solutions of nonlinear multidimensional fractional differential equations ⋮ A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term ⋮ Numerical solutions to the time-fractional Swift-Hohenberg equation using reproducing kernel Hilbert space method

Cites Work

• Unnamed Item
• Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
• The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations
• Solutions of linear second order initial value problems by using Bernoulli polynomials
• A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
• 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
• A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion
• Numerical solution of stochastic integral equations by using Bernoulli operational matrix
• Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method
• Radial basis functions method for solving the fractional diffusion equations
• A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain
• Multi-fractional generalized Cauchy process and its application to teletraffic
• Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients
• Local radial basis function collocation method for Stokes equations with interface conditions
• A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation
• Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination
• Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel
• A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations
• Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations
• Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations
• Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions
• Three classes of fractional oscillators
• A numerical method based on the Chebyshev cardinal functions for variable‐order fractional version of the fourth‐order 2D Kuramoto‐Sivashinsky equation
• A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations

This page was built for publication: A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation