Linear barycentric rational collocation method for solving heat conduction equation

J Li, Y Cheng - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
The linear barycentric rational collocation method for solving heat conduction equation is
presented. The matrix form of discrete heat conduction equation by collocation method is …

[HTML][HTML] Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation

Ö Oruç - Computers & Mathematics with Applications, 2020 - Elsevier
In this paper, 2D viscoelastic wave equation is solved numerically both on regular and
irregular domains. For spatial approximation of viscoelastic wave equation two meshless …

Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation

J Li, Y Cheng - Computational and Applied Mathematics, 2020 - Springer
Second-order Volterra integro-differential equation is solved by the linear barycentric
rational collocation method. Following the barycentric interpolation method of Lagrange …

The linear barycentric rational method for a class of delay Volterra integro-differential equations

A Abdi, JP Berrut, SA Hosseini - Journal of Scientific Computing, 2018 - Springer
A method for solving delay Volterra integro-differential equations is introduced. It is based on
two applications of linear barycentric rational interpolation, barycentric rational quadrature …

The barycentric rational predictor-corrector schemes for Volterra integral equations

A Abdi, JP Berrut, H Podhaisky - Journal of Computational and Applied …, 2024 - Elsevier
This paper introduces a family of barycentric rational predictor-corrector schemes based on
the Floater–Hormann family of linear barycentric rational interpolants (LBRIs) for the …

The barycentric rational difference-quadrature scheme for systems of Volterra integro-differential equations

A Abdi, SA Hosseini - SIAM Journal on Scientific Computing, 2018 - SIAM
In this paper, two applications of linear barycentric rational interpolation are used to derive a
difference-quadrature scheme for solving a class of systems of Volterra integro-differential …

Linear barycentric rational collocation method for solving telegraph equation

J Li, X Su, J Qu - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this paper, the linear barycentric rational interpolation collocation method for solving one‐
and two‐dimensional telegraph equation is presented. The barycentric rational interpolation …

[HTML][HTML] Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations

WH Luo, TZ Huang, XM Gu, Y Liu - Applied Mathematics Letters, 2017 - Elsevier
In this study, based on barycentric rational interpolation functions, three collocation methods
are presented for a class of nonlinear parabolic partial differential equations (PDEs) …

Numerical simulation of two‐dimensional and three‐dimensional generalized Klein–Gordon–Zakharov equations with power law nonlinearity via a meshless …

Ö Oruç - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
This study presents numerical simulations of generalized two‐dimensional (2D) and three‐
dimensional (3D) Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity …

Barycentric rational method for solving biharmonic equation by depression of order

J Li, Y Cheng - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
Two‐dimensional biharmonic boundary‐value problems are considered by the linear
barycentric rational method, the unknown function was approximated by the barycentric …