The Linear Barycentric Rational Quadrature Method for Auto-Convolution Volterra Integral Equations

Analysis of Generalized Multistep Collocation Solutions for Oscillatory Volterra Integral Equations

“…Frequently-used approaches for VIEs include collocation methods [10], the spectral collocation method [11,12], the spectral Galerkin method [13,14], the Nyström method [15,16], and so on. Among these numerical formulae, the collocation-based approach is one of the most important tools.…”

Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

“…Barycentric rational interpolation not only has high interpolation accuracy on special distributed nodes but also has high interpolation accuracy for equidistant nodes [5][6][7]. is method has been used to solve certain problems such as Volterra integral equations [2,8,9], delay Volterra integrodifferential equations [10,11], plane elastic problems [12], nonlinear problems [13], heat conduction equation [14], and so on [15][16][17].…”

Linear Barycentric Rational Method for Two-Point Boundary Value Equations

“…e linear barycentric rational method (LBRM) [1][2][3] has been used to solve certain problems such as delay Volterra integro-differential equations [4], Volterra integral equations [5][6][7], biharmonic equation [8], beam force vibration equation [9], boundary value problems [10], heat conduction problems [11], plane elastic problems [12], incompressible plane elastic problems [13], nonlinear problems [14], and so on [1,15].…”