Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations
From MaRDI portal
Publication:1569220
DOI10.1016/S0096-3003(99)00036-3zbMath1023.65140OpenAlexW2033087926MaRDI QIDQ1569220
Guoqiang Han, Jiong Wang, Ken Hayami, Kōkichi Sugihara
Publication date: 25 June 2000
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00036-3
numerical examplescollocationnonlinear Volterra integral equationRichardson's extrapolationasymptotic error expansion
Related Items (28)
Application of two-dimensional hat functions for solving space-time integral equations ⋮ A new differential transformation approach for two-dimensional Volterra integral equations ⋮ A new numerical method for solving two-dimensional Volterra-Fredholm integral equations ⋮ Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of Hammerstein type ⋮ Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method ⋮ A new method for solving of Darboux problem with Haar wavelet ⋮ The exact solution for solving a class nonlinear operator equations in the reproducing kernel space. ⋮ A computational approach for solving third kind VIEs by collocation method based on radial basis functions ⋮ Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions ⋮ Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations. ⋮ On the solution of quadratic nonlinear integral equation with different singular kernels ⋮ A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains ⋮ Numerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via 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 solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet ⋮ Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators ⋮ Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials ⋮ On a method for solving a two-dimensional nonlinear integral equation of the second kind ⋮ A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations ⋮ The extrapolation method for two-dimensional Volterra integral equations based on the asymptotic expansion of iterated Galerkin solutions ⋮ Application of 2D-bpfs to nonlinear integral equations ⋮ Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions ⋮ Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ An iterative algorithm for solving two dimensional nonlinear stochastic integral equations: a combined successive approximations method with bilinear spline interpolation ⋮ Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method ⋮ Theoretical error analysis of solution for two-dimensional stochastic Volterra integral equations by Haar wavelet ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions ⋮ Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
Cites Work
- Asymptotic error expansion of two-dimensional Volterra integral equation by iterated collocation
- Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
- The Numerical Solution of Two-Dimensional Volterra Integral Equations by Collocation and Iterated Collocation
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations