Linear barycentric rational collocation method for solving heat conduction equation
Jin Li, Yongling Cheng
Abstract
Abstract 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 also obtained. With the help of convergence rate of the barycentric interpolation, the convergence rate of linear barycentric rational collocation method for solving heat conduction equation is proved. At last, several numerical examples are provided to validate the theoretical analysis.
Topics & Concepts
Barycentric coordinate systemMathematicsCollocation (remote sensing)Collocation methodThermal conductionRate of convergenceMathematical analysisInterpolation (computer graphics)Heat equationApplied mathematicsGeometryThermodynamicsDifferential equationComputer sciencePhysicsClassical mechanicsKey (lock)Ordinary differential equationComputer securityMachine learningMotion (physics)Iterative Methods for Nonlinear EquationsNumerical methods in inverse problemsFractional Differential Equations Solutions