Superconvergence of system of Volterra integral equations by spectral approximation method

DOI10.1016/j.amc.2022.127663OpenAlexW4309343953MaRDI QIDQ2101957

Gnaneshwar Nelakanti, Samiran Chakraborty

Publication date: 7 December 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127663

zbMATH Keywords

Galerkin methodsuperconvergenceweakly singular kernelssystem of Volterra integral equationssmooth kernelsmulti-Galerkin method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Systems of linear integral equations (45Fxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis
• A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
• A collocation approach for solving systems of linear Volterra integral equations with variable coefficients
• He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
• Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method
• Using Runge-Kutta method for numerical solution of the system of Volterra integral equation.
• The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions
• Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
• Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
• A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations
• Superconvergent recovery of edge finite element approximation for Maxwell's equations
• Jacobi spectral method for the second-kind Volterra integral equations with a weakly singular kernel
• Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations
• A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique
• On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
• A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Linear integral equations
• Optimal long-time \(L_p(0,T)\) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem