Solution of the Advection-Diffusion Equation Using the Differential Quadrature Method


Kaya B.

KSCE JOURNAL OF CIVIL ENGINEERING, vol.14, no.1, pp.69-75, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 1
  • Publication Date: 2010
  • Doi Number: 10.1007/s12205-010-0069-9
  • Journal Name: KSCE JOURNAL OF CIVIL ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.69-75
  • Keywords: differential quadrature method, advection-diffusion equation, numerical solution, finite differences method, implicit, explicit, DISPERSION EQUATION, TRANSPORT, FLOW, WAVE
  • Dokuz Eylül University Affiliated: Yes

Abstract

Differential Quadrature Method (DQM) to integrate the one-dimensional Advection-diffusion Equation (ADE) is presented. This method was applied to two examples and the results were compared with the performance of the Explicit Finite Difference Method (EFDM) and Implicit Finite Differences Method (IFDM). Based on the comparison with the exact solution, and both the explicit and implicit finite difference solutions, it was concluded that the DQM provides similar results but less grid points; besides the results are converged quickly. A numerical comparison for a case in which the exact solution is known, DQM gives closer results to the exact values than EFDM and IFDM.