A new sequential approach for solving the integro-differential equation via Haar wavelet bases

DOI10.1134/S096554251702004XzbMath1379.65101OpenAlexW2594210653WikidataQ115247856 ScholiaQ115247856MaRDI QIDQ2359073

Yanyan Li

Publication date: 27 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251702004x

zbMATH Keywords

error analysisfixed point theoremoperational matrixrationalized Haar waveletnonlinear mixed Volterra-Fredholm integro-differential equations of the second kind, numerical examples

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for wavelets (65T60) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (13)

Using of PQWs for solving NFID in the complex plane ⋮ Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet ⋮ Investigation approach for a nonlinear singular Fredholm integro-differential equation ⋮ The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane ⋮ Unnamed Item ⋮ Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane ⋮ Solving two-dimensional nonlinear Fredholm integral equations using rationalized Haar functions in the complex plane ⋮ Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet ⋮ Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases ⋮ The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet ⋮ Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations ⋮ Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane ⋮ Solving of nonlinear Volterra integro-differential equations in the complex plane with periodic quasi-wavelets

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