Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations
From MaRDI portal
Publication:5080948
zbMath1495.65245arXiv2007.10814MaRDI QIDQ5080948
Publication date: 1 June 2022
Full work available at URL: https://arxiv.org/abs/2007.10814
Numerical methods for integral equations (65R20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Volterra integral equations (45D05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
- A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation
- Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
- Some properties of Bernoulli polynomials and their generalizations
- Notes on generalization of the Bernoulli type polynomials
- Variational iteration method for solving integral equations
- A note on the Bernoulli and Euler polynomials
- Approximation properties of \(q\)-Bernoulli polynomials
- A generalization of the Bernoulli polynomials
- Approximate solution of fractional order Lane-Emden type differential equation by orthonormal Bernoulli's polynomials
- Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order
- Numerical solution of Abel's integral equation by using Legendre wavelets
- Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
- A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
- A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials
- Expansion over a rectangle of real functions in Bernoulli polynomials and applications
This page was built for publication: Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations