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- Title
AN APPROXIMATE SOLUTION FOR LORENTZIAN SPHERICAL TIMELIKE CURVES.
- Authors
AYDIN, TUBA AGIRMAN
- Abstract
In this article, the differential equation of lorentzian spherical timelike curves is obtained in E14. It is seen that the differential equation characterizing Lorentzian spherical timelike curves is equivalent to a linear, third order, differential equation with variable coefficients. It is impossible to solve these equations analytically. In this article, a new numerical technique based on hermite polynomials is presented using the initial conditions for the approximate solution. This method is called the modified hermite matrixcollocation method. With this technique, the solution of the problem is reduced to the solution of an algebraic equation system and the approximate solution is obtained. In addition, the validity and applicability of the technique is explained by a sample application.
- Subjects
ALGEBRAIC equations; HERMITE polynomials; DIFFERENTIAL equations; CURVES; EQUATIONS
- Publication
Journal of Science & Arts, 2020, Vol 20, Issue 3, p587
- ISSN
1844-9581
- Publication type
Article
- DOI
10.46939/J.Sci.Arts-20.3-a08