Author:
Dağ İdris,Canivar Aynur,Şahin Ali
Abstract
PurposeThe purpose of this paper is to provide numerical solutions of the time‐dependent advection‐diffusion problem by using B‐spline finite element methods in which Taylor series expansion is used for the related time discretization.Design/methodology/approachThe solution domain is partitioned into uniform mesh. The collocation and the Galerkin methods where B‐spline functions are used as base functions are applied to advection‐diffusion equation.FindingsGiven methods are unconditionally stable and the obtained results are comparable with some earlier studies in terms of accuracy.Originality/valueQuadratic and cubic B‐spline base functions are used with Taylor series expansion for the discretization of the equation.
Subject
Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)
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