A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations

KAYA D., Yokus A.

Mathematics and Computers in Simulation, cilt.60, sa.6, ss.507-512, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 6
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0378-4754(01)00438-4
  • Dergi Adı: Mathematics and Computers in Simulation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.507-512
  • Anahtar Kelimeler: Adomian's decomposition method, Burgers equation, Parabolic partial differential equation, Partial solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

The decomposition method for solving the linear and nonlinear partial differential equations was implemented with initial conditions. The partial solution in the x-direction required more computational work when compared with the partial solution developed in the t-direction. The nonlinear problem was solved without linearizing the problem by using the Adomian decomposition method (ADM). Discretization was avoided and an efficient numerical solution with high accuracy, minimal calculation, avoidance of physically unrealistic assumptions was provided.