Higher Order Accurate Numerical Solution of Advection Diffusion Equation

Authors : Dursun IRK, Melis ZORŞAHİN GÖRGÜLÜ

Pages : 253-258

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Publication Date : 2018-10-15

Article Type : Research Paper

Abstract :In this study, the advection diffusion equation insert ignore into journalissuearticles values(ADE); will be solved numerically using the quintic B-spline Galerkin finite-element method, based on second and fourth order single step methods for time integration. Two test problems are studied and accuracy of the numerical results are measured by the computing the order of convergence and error norm $L_{\infty }$ for the proposed methods. The numerical results of this study demonstrate that the proposed two algorithms especially the fourth order single step method are a remarkably successful numerical technique for solving the advection diffusion equation.
Keywords : Galerkin method, Quintic B spline, Taylor series