Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations
DOI10.1080/00207160.2020.1714601zbMath1483.65217OpenAlexW3000042567MaRDI QIDQ5031175
Kapil Kant, Gnaneshwar Nelakanti
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/10.1080/00207160.2020.1714601
Jacobi polynomialsspectral Galerkin methodVolterra integral equationsweakly singular kernelssuperconvergence ratesmulti-Galerkin method
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence analysis of spectral Galerkin methods for Volterra type integral equations
- A Nyström interpolant for some weakly singular nonlinear Volterra integral equations
- Analytical and computational methods for a class of nonlinear singular integral equations
- Polynomially based multi-projection methods for Fredholm integral equations of the second kind
- Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
- A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
- A nonlinear integral equation associated with gas absorption in a liquid
- Numerical solutions for second-kind Volterra integral equations by Galerkin methods.
- Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations
- Tau approximation method for the weakly singular Volterra-Hammerstein integral equations
- Convergence analysis of the Jacobi-collocation method for nonlinear weakly singular Volterra integral equations
- The discrete multi-projection method for Fredholm integral equations of the second kind
- Legendre spectral projection methods for Fredholm-Hammerstein integral equations
- Convergence Analysis of Legendre Spectral Galerkin Method for Volterra-Fredholm-Hammerstein Integral Equations
- Volterra Integral Equations
- Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
- Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
- Degenerate Kernel Method for Hammerstein Equations
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
- The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
- A New Collocation-Type Method for Hammerstein Integral Equations
- Product integration for Volterra integral equations of the second kind with weakly singular kernels
- Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels
- Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
- Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels
- Heat transfer between solids and gases under nonlinear boundary conditions
This page was built for publication: Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations
