A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions

DOI10.1016/J.CAM.2019.112352zbMath1436.65212OpenAlexW2963793984MaRDI QIDQ2279899

Jian Chen, Yong Huang, Minfan He

Publication date: 16 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112352

zbMATH Keywords

multiscale Galerkin methodFredholm integro-differential equationmatrix truncationmultiscale orthonormal bases

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (11)

The existence and uniqueness of solution for linear system of mixed Volterra-Fredholm integral equations in Banach space ⋮ Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method ⋮ A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh ⋮ A performance assessment of an HDG method for second-order Fredholm integro-differential equation: existence-uniqueness and approximation ⋮ Numerical Solution of a Singularly Perturbed Fredholm Integro Differential Equation with Robin Boundary Condition ⋮ A new multiscale algorithm for solving second order boundary value problems ⋮ A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations ⋮ Refinement of SOR Iterative Method for the Linear Rational Finite Difference Solution of Second-Order Fredholm Integro-Differential Equations ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition ⋮ A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs ⋮ A robust numerical method for a singularly perturbed Fredholm integro-differential equation

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