Legendre-Galerkin method for the linear Fredholm integro-differential equations
From MaRDI portal
Publication:280034
DOI10.1016/j.amc.2014.06.057zbMath1337.65103OpenAlexW2169905392MaRDI QIDQ280034
Mohamed El-Gamel, Mohamed Fathy, M. S. El-Azab
Publication date: 29 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.057
Integro-ordinary differential equations (45J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items
Perturbed Galerkin method for solving integro-differential equations ⋮ A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh ⋮ Numerical solution for solving special eighth-order linear boundary value problems using Legendre Galerkin method ⋮ A robust finite difference method for the solutions of singularly perturbed Fredholm integro-differential equations ⋮ Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations ⋮ Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation ⋮ Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method ⋮ The backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type ⋮ A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ A robust numerical method for a singularly perturbed Fredholm integro-differential equation ⋮ Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations ⋮ The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method
- Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem
- Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
- Legendre Gauss spectral collocation for the Helmholtz equation on a rectangle
- Using rationalized Haar wavelet for solving linear integral equations
- Legendre wavelets method for solving differential equations of Lane-Emden type
- A sinc-collocation method for the linear Fredholm integro-differential equations
- Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations
- Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients
- Discussion on convergence of Legendre polynomial for numerical solution of integral equations
- Numerical solution of integro-differential equations by using CAS wavelet operational matrix of integration
- Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
- Legendre spectral Galerkin method for second-kind Volterra integral equations
- Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions.
- Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
- The Legendre collocation method for the Cahn--Hilliard equation
- Numerical solution of Abel's integral equation by using Legendre wavelets
- A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
- A method for the numerical solution of the integro-differential equations
- The numerical solution of integro-differential equation by means of the Sinc method
- Numerical solutions of integral and integro-differential equations using Legendre polynomials
- Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
- Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Boundary value problems for higher order integro- differential equations
- Spectral Methods
