http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2393 JAEM 2013, Vol 3, No 2 koleksiyonunu içerir. 2026-04-14T21:29:39Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2506 Solvability the telegraph equation with purely integral conditions Merad, ‪Ahcene; Bouziani, ‪Abdelfatah In this paper a numerical technique is developed for the one-dimensional telegraph equation. We prove the existence, uniqueness, and continuous dependence upon the data of solution to a telegraph equation with purely integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution by using a simple and efficient algorithm for numerical solution. 2013-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2505 A numerical solution of the modified regularized long wave (MRLW) equation using quartic B-splines Karakoç, Seydi Battal Gazi; Geyikli, Turabi; Başhan, Ali In this paper, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by subdomain finite element method using quartic B-spline functions. Solitary wave motion, interaction of two and three solitary waves and the development of the Maxwellian initial condition into solitary waves are studied using the proposed method. Accuracy and efficiency of the proposed method are tested by calculating the numerical conserved laws and error norms L? and L?. The obtained results show that the method is an effective numerical scheme to solve the MRLW equation. In addition, a linear stability analysis of the scheme is found to be unconditionally stable. 2013-09-18T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2504 A real-time virtual sculpting application with a haptic device Çit, Gülüzar; Ayar, Kayhan; Serttaş, Soydan; Öz, Cemil In this paper, a 3D virtual sculpting application is developed for 3D virtual models with removing or adding materials by using Boolean operations. Virtual sculpting simulation reads 3D virtual models in a variety of file formats such as raw and stl consisting of a triangle poligon mesh and voxelizes its outer surface and interiror volüme to generate its volumetric dataset. We used octree and hashing techniques to reduce the memory requirement needed for volumetric dataset. The surface is locally reconstructed using Marching Cubes algorithm known as the most popular isosurface extraction algorithm after removing or adding material to the 3D virtual model. The user interacts with the model by using a haptic device to give the force-feedback like real-life sculpting. 2013-08-09T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2503 On parallel surfaces in minkowski 3-space Ünlütürk, Yasin; Özüsağlam, Erdal In this paper, we study on some properties of parallel surfaces in Minkowski 3-space. The results given in this paper were given in Euclidean space by [7, 8]. By using these two former studies, we show these properties in Minkowski 3-space. Also we give the relation among the fundamental forms of parallel surfaces in Minkowski 3-space. Finally we show that how a curve which is geodesic on M become again a geodesic on parallel surface Mr by the normal map in Minkowski 3-space. 2013-07-09T00:00:00Z