Numerical Sxolution of the Advection-Diffusion Equation using Extended Cubic B-spline Collocation Method with Hermite Formula

Le résumé fourni par la source

An efficient collocation method is proposed based on extended cubic B-spline basis functions and Hermite formula for numerical solution of the advection-diffusion equation. The advection–diffusion equation is fully-discretized by using the exponential cubic B-spline collocation for spatial discretization and the finite difference method for the time discretization. The difference scheme is analyzed to be unconditionally stable. The accuracy of this method can be improved by properly choosing the values of the parameter λ. A numerical experiment is given to show the accuracy and stability of the proposed method.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.