The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane

DOI10.1007/S40819-017-0465-7zbMath1383.65156OpenAlexW2773854382MaRDI QIDQ1700478

Peng Zhang

Publication date: 6 March 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-017-0465-7

zbMATH Keywords

numerical exampleintegral operatorfixed point theoremnonlinear integral equationcomplex planeVolterra-Fredholm integral equationrationalized Haar wavelet

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for wavelets (65T60) Integral operators (45P05) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (8)

An interpolation-based method for solving Volterra integral equations ⋮ Analysis of a nonlinear Volterra-Fredholm integro-differential equation ⋮ Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet ⋮ 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 ⋮ Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane

Cites Work

• Solving mixed Fredholm-Volterra integral equations by using the operational matrix of RH wavelets
• Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis
• A new method for solving of Darboux problem with Haar wavelet
• Hybrid Bernstein block-pulse functions method for second kind integral equations with convergence analysis
• A new sequential approach for solving the integro-differential equation via Haar wavelet bases
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