A higher-order finite difference method for solving a system of integro-differential equations

DOI10.1016/S0377-0427(99)00339-8zbMath0979.65124OpenAlexW2013732753MaRDI QIDQ5928281

Krystyna Styś, Tadeusz Styś

Publication date: 12 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00339-8

zbMATH Keywords

finite difference methodnumerical examplesGreen function as kernelsystem of integro-differential equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (8)

A note on the convexity of ruin probabilities ⋮ A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations ⋮ A feedforward neural network based on Legendre polynomial for solving linear Fredholm integro-differential equations ⋮ Compact finite difference methods for high order integro-differential equations ⋮ A simple algorithm for exact solutions of systems of linear and nonlinear integro-differential equations ⋮ Chebyshev wavelet method for solving radiative transfer equation in a slab medium ⋮ Compact finite difference method for integro-differential equations ⋮ Compact finite difference method for integro-differential equations

Cites Work

• An optimal algorithm for certain boundary value problem
• Boundary value problems for second order integro-differential equations of Fredholm type
• Computational Methods for Integral Equations
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
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