CUBIC B-SPLINE LEAST SQUARES METHOD FOR THE NUMERICAL SOLUTION OF ADVECTION-DIFFUSION EQUATION

Authors

  • Idris Dag Eskisehir Osmangazi University
  • Buket Ay Eskişehir Osmangazi University
  • Bülent Saka Eskişehir Osmangazi University

Keywords:

Advection-diffusion equation; least squares method; cubic B-spline.

Abstract

Least squares algorithm is set up for getting solution of the time-dependent one-dimensional advection-diffusion equation (ADE). The cubic B-spline least squares method is coupled with the Crank-Nicolson scheme to produce the numerical method which is used to integrate the ADE fully. Two test problems are studied to illustrate the efficiency of the proposed method.

Downloads

Published

30-06-2022

How to Cite

Dag, I., Ay, B., & Saka, B. (2022). CUBIC B-SPLINE LEAST SQUARES METHOD FOR THE NUMERICAL SOLUTION OF ADVECTION-DIFFUSION EQUATION. Journal of Applied and Computational Sciences, 1(1), 53–58. Retrieved from https://jofacs.com/ojs/index.php/csr/article/view/6

Issue

Vol. 1 No. 1 (2022)

Section

Research Articles

License

Copyright (c) 2022 Journal of Applied and Computational Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.