Barycentric rational collocation method for fractional reaction-diffusion equation
Jin Li
Abstract
<abstract><p>Barycentric rational collocation method (BRCM) for solving spatial fractional reaction-diffusion equation (SFRDE) is presented. New Gauss quadrature with weight function $ (s_{\theta}-\tau)^{\xi-\alpha} $ is constructed to approximate fractional integral. Matrix equation of SFRDF is obtained from discrete SFRDE. With help of the error of barycentrix rational interpolation, convergence rate is obtained.</p></abstract>
Topics & Concepts
Barycentric coordinate systemMathematicsQuadrature (astronomy)Interpolation (computer graphics)Collocation methodMathematical analysisFractional calculusRational functionCollocation (remote sensing)Rate of convergenceApplied mathematicsPhysicsGeometryComputer scienceDifferential equationMotion (physics)OpticsComputer networkChannel (broadcasting)Machine learningClassical mechanicsOrdinary differential equationFractional Differential Equations SolutionsNumerical methods in engineeringIterative Methods for Nonlinear Equations