NONIC B-SPLINE APPROACH FOR ADVECTION DIFFUSION EQUATION

Year 2023, Volume: 24 Issue: 2, 155 - 163, 21.06.2023

Emre Kırlı

https://doi.org/10.18038/estubtda.1209564

Cited By: 1

Abstract

NONIC B-SPLINE APPROACH FOR ADVECTION DIFFUSION EQUATION

Abstract

In this paper, a highly accurate method is introduced to achieve the numerical solution of the advection diffusion equation (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 𝐿∞ 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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