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




Related Items (28)

Application of two-dimensional hat functions for solving space-time integral equationsA new differential transformation approach for two-dimensional Volterra integral equationsA new numerical method for solving two-dimensional Volterra-Fredholm integral equationsBernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of Hammerstein typeNumerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square methodA new method for solving of Darboux problem with Haar waveletThe 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 functionsNumerical solution of linear Fredholm integral equations via two-dimensional modification of hat functionsPosteriori error estimates for the nonlinear Volterra-Fredholm integral equations.On the solution of quadratic nonlinear integral equation with different singular kernelsA 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 domainsNumerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via radial basis functionsThe numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysisNumerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar waveletSuper-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operatorsLow cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomialsOn a method for solving a two-dimensional nonlinear integral equation of the second kindA meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equationsThe extrapolation method for two-dimensional Volterra integral equations based on the asymptotic expansion of iterated Galerkin solutionsApplication of 2D-bpfs to nonlinear integral equationsNumerical solution of nonlinear two-dimensional integral equations using rationalized Haar functionsExtrapolation method for solving two-dimensional Volterra integral equations of the second kindAn iterative algorithm for solving two dimensional nonlinear stochastic integral equations: a combined successive approximations method with bilinear spline interpolationNumerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation methodTheoretical error analysis of solution for two-dimensional stochastic Volterra integral equations by Haar waveletExponential convergence for numerical solution of integral equations using radial basis functionsNumerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods



Cites Work


This page was built for publication: Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations