Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels
From MaRDI portal
Publication:5470908
DOI10.1137/040612452zbMath1103.65138OpenAlexW1971170512MaRDI QIDQ5470908
Arvet Pedas, Inga Parts, Enn Tamme
Publication date: 2 June 2006
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/040612452
piecewise polynomial collocation methodweakly singular kernelgraded gridFredholm integro-differential equationattainable order of convergence
Related Items (22)
A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel ⋮ Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations ⋮ New general solutions to linear Fredholm integro-differential equations and their applications on solving the boundary value problems ⋮ Airfoil collocation method employing a new efficient procedure for solving system of two logarithmic integro-differential equations ⋮ Hybrid collocation methods for Fredholm integral equations with weakly singular kernels ⋮ On one approach to solve the linear boundary value problems for Fredholm integro-differential equations ⋮ Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ A study of error estimation for second order Fredholm integro-differential equations ⋮ Discrete Galerkin method for Fredholm integro-differential equations with weakly singular kernels ⋮ On the unique solvability of the boundary-value problems for Fredholm integrodifferential equations with degenerate kernel ⋮ An efficient algorithm for solving Fredholm integro-differential equations with weakly singular kernels ⋮ A discrete collocation method for Fredholm integro-differential equations with weakly singular kernels ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ Simulation of an integro-differential equation and application in estimation of ruin probability with mixed fractional Brownian motion ⋮ FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND ⋮ Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions ⋮ A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind ⋮ A solution to a boundary-value problem for integro-differential equations with weakly singular kernels ⋮ DEVIATION OF THE ERROR ESTIMATION FOR SECOND ORDER FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS ⋮ TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS ⋮ Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations
This page was built for publication: Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels