NONIC B-SPLINE APPROACH FOR ADVECTION DIFFUSION EQUATION

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Eskişehir Technical University Journal of Science and Technology A - Applied Sciences Engineering
Volume:24 Issue:2
NONIC B-SPLINE APPROACH FOR ADVECTION DIFFUSION EQUATION

NONIC B-SPLINE APPROACH FOR ADVECTION DIFFUSION EQUATION

Pages : 155-163

View : 26 | Download : 36

Publication Date : 2023-06-21

Article Type : Research Paper

Abstract :In this paper, a highly accurate method is introduced to achieve the numerical solution of the advection diffusion equation insert ignore into journalissuearticles values(ADE);. This approach contains collocation technique based on nonic B-spline functions in the spatial-domain discretization and Adams Moulton scheme in the temporal-domain discretization. Two test problems are studied to validate effectiveness of the new presented method and efficiency of the approximate results are tested by calculating rate of temporal-convergence and error norm ????∞ for the suggested method. The obtained numerical results are compared in the tables by the other available studies in literature and it is observed that a better approximate solution is provided than the existing methods.
Keywords : Collocation method, Nonic B spline, Advection diffusion equation

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