A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equations
From MaRDI portal
Publication:6104231
DOI10.1016/j.matcom.2023.01.039OpenAlexW4319072658WikidataQ130257485 ScholiaQ130257485MaRDI QIDQ6104231
Ghasem Barid Loghmani, Mohammad Mehdi Heydari, Unnamed Author
Publication date: 28 June 2023
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2023.01.039
quadratic convergencequasilinearization techniquebarycentric interpolationmulti-dimensional Volterra integral equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two reliable methods for solving the Volterra integral equation with a weakly singular kernel
- A new numerical method for solving two-dimensional Volterra-Fredholm integral equations
- Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
- Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
- Fixed point method for solving nonlinear quadratic Volterra integral equations
- Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization
- Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
- He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
- He's homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations
- Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
- Multistep collocation methods for Volterra integral equations
- On Gronwall-Bellman-Bihari-type integral inequalities in several variables with retardation
- Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application
- Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere
- An implementation of fast wavelet Galerkin methods for integral equations of the second kind
- The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions
- The numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis
- Numerical solution of nonlinear integral equations using alternative Legendre polynomials
- Interpolation and approximation by polynomials
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- Smoothing transformation for numerical solution of nonlinear weakly singular Volterra integral equations using quasilinearization and product integration methods
- Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation
- Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels
- A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations
- An interpolation-based method for solving Volterra integral equations
- Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation
- Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations
- Spectral method for multidimensional Volterra integral equation with regular kernel
- Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels
- Numerical solution of Abel's integral equation by using Legendre wavelets
- An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials
- Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations
- Barycentric rational interpolation with no poles and high rates of approximation
- Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
- Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations
- Semi analytical solutions of second type of three-dimensional Volterra integral equations
- Piecewise Polynomial Collocation for Volterra-type Integral Equations of the Second Kind
- Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
- The generalized quasilinearization method for parabolic integro-differential equations
- An Euler-type method for two-dimensional Volterra integral equations of the first kind
- The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations
- Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- The Linear Barycentric Rational Quadrature Method for Volterra Integral Equations
- A two-dimensional singular integral equation of diffraction theory
- Piecewise barycentric interpolating functions for the numerical solution of Volterra integro‐differential equations
This page was built for publication: A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equations