Numerical solution of integro-differential equations of high-order Fredholm by the simplified reproducing kernel method

DOI10.1080/00207160.2018.1455091OpenAlexW2790534275MaRDI QIDQ5031774

Yang Liu, Haolu Zhang, Zhi-yuan Li, Yu-Lan Wang

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2018.1455091

zbMATH Keywords

numerical methodsreproducing kernel spaceintegral-differential equationsreproducing kernel methodsinitial boundary condition

Mathematics Subject Classification ID

Integro-differential operators (47G20) Numerical analysis (65-XX) Fredholm integral equations (45Bxx) Linear integral equations (45Axx)

Related Items (3)

A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer ⋮ Numerical solution of a class of time-fractional order diffusion equations in a new reproducing kernel space ⋮ A new application of the reproducing kernel method

Uses Software

• IDSOLVER

Cites Work

• IDSOLVER: a general purpose solver for \(n\)th-order integro-differential equations
• An approximate solution for a mixed linear Volterra-Fredholm integral equation
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• Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh
• Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
• Numerical solution of integro-differential equations of high order by wavelet basis, its algorithm and convergence analysis
• A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
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• The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations
• A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation
• Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

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