The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations
DOI10.1080/00207160.2019.1693547zbMath1480.65379OpenAlexW2986132802WikidataQ126795066 ScholiaQ126795066MaRDI QIDQ5031169
Ali Hoseingholipour, Khosrow Maleknejad
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1693547
convergence analysiscollocation methodtwo-dimensional Legendre waveletnonlinear system of two-dimensional integral equations
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (3)
Cites Work
- Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system
- Numerical solutions of regularized long wave equation by Haar wavelet method
- Legendre wavelet operational matrix of derivative for optimal control in a convective-diffusive fluid problem
- Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method
- A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
- Two-dimensional integral-algebraic systems: analysis and computational methods
- Solving a system of integral equations by an analytic method
- A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
- A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
- A new Legendre wavelet operational matrix of derivative and its applications in solving the singular ordinary differential equations
- Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations
- Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
- Numerical solution of evolution equations by the Haar wavelet method
- Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets
- Modified homotopy perturbation method for solving system of linear Fredholm integral equations
- Uniqueness and stability for boundary value problems with weakly coupled systems of nonlinear integro-differential equations and application to chemical reactions
- A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
- He's homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equations
- A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
- A computational method for solving optimal control of a system of parallel beams using Legendre wavelets
- On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets
- Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations
- Global Asymptotic Stability for a Stationary Solution of a System of Integro-Differential Equations Describing the Formation of Liver Zones
- Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method
- A computational method based on Hermite wavelets for two‐dimensional Sobolev and regularized long wave equations in fluids
- Legendre wavelets method for solving fractional integro-differential equations
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