A numerical study for computation of geodesic curves

Kasap E., Yapici M., Akyildiz F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.171, sa.2, ss.1206-1213, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 171 Sayı: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2005.01.109
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1206-1213
  • Anahtar Kelimeler: geodesic, finite-difference, relaxation methods, SHALLOW-WATER EQUATIONS, INTEGRATION, SURFACES, DESIGN, IMAGES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Consideration is given to the numerical computation of geodesic on surfaces. The method of finite-difference is used for governing non-linear system of differential equations. Then the resulting non-linear algebraic equations are solved by both iterative and Newton's method. It is shown that iterative method (IM) gives better result than Newton's method. Finally, we demonstrated our finding on several surfaces. (c) 2005 Elsevier Inc. All rights reserved.