Indian Journal of Industrial and Applied Mathematics
  • Year: 2014
  • Volume: 5
  • Issue: 1

Numerical Solution of Axial Dispersion Model Using Orthogonal Collocation Method

  • Author:
  • Pardeep Kaur1, Shelly1,, Potůček František2
  • Total Page Count: 7
  • Published Online: Jun 1, 2014
  • DOI:
  • Page Number: 35 to 41

1Department of Mathematics, Punjabi University, Patiala, 147002, Punjab, India

2Department of Wood, Pulp and Paper, Faculty of Chemical Technology, University of Pardubice, Studentská 95, 532 10, Pardubice, Czech Republic

*Corresponding Author E-mail Id: aroshelly@gmail.com

Abstract

An axial dispersion model involving Peclet number has been solved using the technique of orthogonal collocation. Lagrangian interpolation polynomial has been used to discretize the approximating function. This technique converts the set of partial differential equations into ordinary differential equations. The resulting system of differential algebraic equations has been solved using MATLAB with ode15s system solver. Numerical values have been compared with analytic ones to check the efficiency of the method.

Keywords

Orthognal collocation, Lagrangian interpolation polynomial, Peclet number, Collocation Points