The comparison between the DRBEM and DQM solution of nonlinear reaction-diffusion equation

MERAL G., TEZER M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.16, sa.10, ss.3990-4005, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 10
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.cnsns.2011.02.008
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3990-4005
  • Anahtar Kelimeler: DRBEM, DQM, FEM, Nonlinear reaction-diffusion equation, BOUNDARY-ELEMENT METHOD, DECOMPOSITION, SYSTEMS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this study, both the dual reciprocity boundary element method and the differential quadrature method are used to discretize spatially, initial and boundary value problems defined by single and system of nonlinear reaction-diffusion equations. The aim is to compare boundary only and a domain discretization method in terms of accuracy of solutions and computational cost. As the time integration scheme, the finite element method is used achieving solution in terms of time block with considerably large time steps. The comparison between the dual reciprocity boundary element method and the differential quadrature method solutions are made on some test problems. The results show that both methods achieve almost the same accuracy when they are combined with finite element method time discretization. However, as a method providing very good accuracy with considerably small number of grid points differential quadrature method is preferrable. (C) 2011 Elsevier B.V. All rights reserved.