Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order

DOI10.1016/j.amc.2017.03.012zbMath1411.65162OpenAlexW2600516003MaRDI QIDQ1736144

Xianqiang Yang

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.012

zbMATH Keywords

fractional operational matrixtwo-dimensional fractional integral equationstwo-dimensional Bernstein polynomials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (19)

Chaotic behaviour of fractional predator-prey dynamical system ⋮ Fractional Order Operational Matrix Method for Solving Two-Dimensional Nonlinear Fractional Volterra Integro-Differential Equations ⋮ Modelling leaf surface reconstruction using Bernstein polynomials method ⋮ A new method to numerically solve fractional differential equations using \(a\)-polynomials ⋮ Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations ⋮ Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order ⋮ New approach to solve two-dimensional Fredholm integral equations ⋮ Unnamed Item ⋮ Application of hat basis functions for solving two-dimensional stochastic fractional integral equations ⋮ Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order ⋮ Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation ⋮ Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels ⋮ Approximating the solution of three-dimensional nonlinear Fredholm integral equations ⋮ A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique ⋮ Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets ⋮ A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique ⋮ Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix ⋮ Boubaker polynomials and their applications for solving fractional two-dimensional nonlinear partial integro-differential Volterra integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Impulsive fractional partial differential equations
• Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation
• Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
• On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
• Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
• A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
• Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
• Numerical algorithm based on Adomian decomposition for fractional differential equations
• Efficient algorithms to solve singular integral equations of Abel type
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• Fractional order integral equations of two independent variables
• Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
• Operational matrices of Bernstein polynomials and their applications
• Existence of solutions of systems of partial differential equations of fractional order
• Some noises withI/fspectrum, a bridge between direct current and white noise

This page was built for publication: Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order