A numerical study for computation of geodesic curves

Kasap, Emin; Yapici, M; Akyildiz, FT

doi:10.1016/j.amc.2005.01.109

A numerical study for computation of geodesic curves

Kasap E., Yapici M., Akyildiz F.

APPLIED MATHEMATICS AND COMPUTATION, vol.171, no.2, pp.1206-1213, 2005 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 171 Issue: 2
Publication Date: 2005
Doi Number: 10.1016/j.amc.2005.01.109
Journal Name: APPLIED MATHEMATICS AND COMPUTATION
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1206-1213
Keywords: geodesic, finite-difference, relaxation methods, SHALLOW-WATER EQUATIONS, INTEGRATION, SURFACES, DESIGN, IMAGES
Ondokuz Mayıs University Affiliated: Yes

Abstract

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.