Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials

DOI10.1155/2014/162896zbMath1470.65145OpenAlexW2082998953WikidataQ59035632 ScholiaQ59035632MaRDI QIDQ1722227

M. M. Ezadkhah, Stanford Shateyi, Emran Tohidi

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/162896

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Functional-differential equations with fractional derivatives (34K37)

Related Items

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series ⋮ Numerical solution of Fredholm fractional integro-differential equation with right-sided Caputo's derivative using Bernoulli polynomials operational matrix of fractional derivative ⋮ Numerical simulation of time and space fractional partial differential equation via 3-scale Haar wavelet ⋮ Convergence analysis of the generalized Euler-Maclaurin quadrature rule for solving weakly singular integral equations ⋮ Solving integral equations by means of fixed point theory ⋮ Solutions of linear second order initial value problems by using Bernoulli polynomials ⋮ A block-by-block approach for nonlinear fractional integro-differential equations ⋮ Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials ⋮ On two‐dimensional weakly singular fractional partial integro‐differential equations and dual Bernstein polynomials ⋮ A numerical approach for the system of nonlinear variable-order fractional Volterra integral equations ⋮ Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates ⋮ Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates ⋮ On Bernoulli matrix polynomials and matrix exponential approximation ⋮ Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates ⋮ An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations ⋮ Operational matrix approach based on two-dimensional Boubaker polynomials for solving nonlinear two-dimensional integral equations ⋮ Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in hilbert space with error analysis ⋮ Bernoulli polynomials collocation for weakly singular Volterra integro-differential equations of fractional order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations
• Fourier operational matrices of differentiation and transmission: introduction and applications
• Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems
• A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain
• A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation
• A collocation method using Hermite polynomials for approximate solution of pantograph equations
• Laguerre polynomial approach for solving linear delay difference equations
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• Application of generalized differential transform method to multi-order fractional differential equations
• Adomian decomposition method for solving fractional nonlinear differential equations
• Generalized Taylor's formula
• Analytical solution of a fractional diffusion equation by variational iteration method
• Numerical methods for multi-term fractional (arbitrary) orders differential equations
• A new tau method for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation
• The spectral method for solving systems of Volterra integral equations
• Finite difference approximations for two-sided space-fractional partial differential equations
• A Legendre collocation method for fractional integro-differential equations