Cubic quasi-interpolation spline collocation method for solving convection–diffusion equations

S. Bouhiri, A. Lamnii and M. Lamnii

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 164, issue C, 33-45

Abstract: In this paper, we use a cubic spline collocation method to solve a two dimensional convection–diffusion equation. More precisely, we approximate first and second order partial derivatives by those of cubic spline quasi-interpolants to produce a system of first order ordinary differential equations. The resulting system can be solved using MATLAB’s ode solver. Error estimates of quasi-interpolants which are used are given with full discussion. Furthermore, numerical examples are presented to show the validity of our methods.

Keywords: Quasi-interpolation; B-spline; Collocation-method; Convection–diffusion equation (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:164:y:2019:i:c:p:33-45

DOI: 10.1016/j.matcom.2018.11.003

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