Barycentric rational method for solving biharmonic equation by depression of order
Jin Li, Yongling Cheng
Abstract
Abstract Two‐dimensional biharmonic boundary‐value problems are considered by the linear barycentric rational method, the unknown function was approximated by the barycentric rational function. For the biharmonic equation, we change the biharmonic equation into the two Poisson equations by depression of order. The linear equations of discrete the biharmonic equation was changed into matrix form. For the basis of barycentric rational function, we present the convergence rate of linear barycentric rational method for biharmonic equation by depression of order. At last, several numerical examples are provided to validate the theoretical analysis.
Topics & Concepts
Biharmonic equationBarycentric coordinate systemMathematicsMathematical analysisRational functionApplied mathematicsBoundary value problemGeometryNumerical methods in engineeringIterative Methods for Nonlinear EquationsDifferential Equations and Numerical Methods