Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions

DOI10.1080/00207160412331336044zbMath1075.65147OpenAlexW2112618353MaRDI QIDQ5466763

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Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1080/00207160412331336044

zbMATH Keywords

numerical examplesoperational matrixblock pulse functionsFourier functionslinear integro differential equation

Mathematics Subject Classification ID

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

Related Items (10)

Numerical solution of linear integro-differential equation by using sine-cosine wavelets ⋮ Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients ⋮ On the use of Elzaki decomposition method for solving higher-order integro-differential equations ⋮ Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations ⋮ Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations ⋮ A hybrid Legendre block-pulse method for mixed Volterra-Fredholm integral equations ⋮ Numerical solution of high-order Volterra-Fredholm integro-differential equations by using Legendre collocation method ⋮ Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions ⋮ New construction of wavelets base on floor function ⋮ Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations

Cites Work

• Solving second kind integral equations with hybrid Fourier and block-pulse functions
• Walsh spectral analysis for ordinary differential equations. I. Initial value problems
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions

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