Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of Hammerstein type
From MaRDI portal
Publication:2176180
DOI10.1007/s40314-020-1077-0zbMath1449.65356OpenAlexW3004706596MaRDI QIDQ2176180
Publication date: 4 May 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-1077-0
collocation methodBernoulli polynomialsoperational matrix methodtwo-dimensional integral equationsVolterra-Fredholm integral equations of Hammerstein type
Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)
Related Items
Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions ⋮ Novel operational matrix method for the numerical solution of nonlinear reaction-advection-diffusion equation of fractional order ⋮ On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations ⋮ Collocation method for solving two-dimensional nonlinear Volterra-Fredholm integral equations with convergence analysis ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis ⋮ A hybrid Legendre block-pulse method for mixed Volterra-Fredholm integral equations
Cites Work
- Unnamed Item
- Unnamed Item
- Existence of an \(L^p\)-solution for two dimensional integral equations of the Hammerstein type
- Matrix method based on the second kind Chebyshev polynomials for solving time fractional diffusion-wave equations
- A new numerical method for solving two-dimensional Volterra-Fredholm integral equations
- Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
- On a method for solving a two-dimensional nonlinear integral equation of the second kind
- Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations
- Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
- Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness
- Application of 2D-bpfs to nonlinear integral equations
- Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
- Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
- A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
- Inertia characteristics of self-adjoint matrix polynomials
- Bounds for the solution of hyperbolic problems
- Continuous time collocation methods for Volterra-Fredholm integral equations
- Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation
- Asymptotic expansion for the trapezoidal Nyström method of linear Volterra-Fredholm equations
- Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations
- Special issue: Higher transcendental functions and their applications
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- A block pulse operational matrix method for solving two-dimensional nonlinear integro-differential equations of fractional order
- Numerical solution of nonlinear 2D Volterra-Fredholm integro-differential equations by two-dimensional triangular function
- A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
- The special functions and their approximations. Vol. I, II
- Numerical Solution of Two-Dimensional Integral Equations Using Linear Elements
- An electromagnetic integral equation: Application to microtearing modes
- On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
- The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated Collocation
- Collocation methods for two dimensional weakly singular integral equations
- An Euler-type method for two-dimensional Volterra integral equations of the first kind
- Numerical solving of several types of two‐dimensional integral equations and estimation of error bound
- Some identities for Bernoulli polynomials involving Chebyshev polynomials
- Numerical Methods for Special Functions
- The extrapolation method for two-dimensional Volterra integral equations based on the asymptotic expansion of iterated Galerkin solutions
- Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations
- Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations
This page was built for publication: Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of Hammerstein type
