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Three different methods for numerical solution of the EW equation
(Elsevier Sci LTD, 2008)
Numerical solutions of the equal width wave (EW) equation are obtained by using a Galerkin method with quartic B-spline finite elements, a differential quadrature method with cosine expansion basis and a meshless method ...
Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
(Siam Publications, 2008)
We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean ...
On the Minkowski measurability of self-similar fractals in R-d
(Scientific Technical Research Council Turkey-Tubitak, 2013)
The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ...
Numerical solution of RLW equation using radial basis functions
(Taylor & Francis LTD, 2010)
The numerical solution of the regularized long wave equation is investigated by means of the meshless method based on collocation with the well-known radial basis functions (RBFs). Single solitary wave motion, two solitary ...
Numerical solutions of KdV equation using radial basis functions
(Elsevier Science Inc, 2008)
Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the collocation with radial basis functions. Five standard radial basis functions are used in the method of the ...
Numerical solutions of the Kawahara type equations using radial basis functions
(Wiley-Blackwell, 2012)
This study is carried out to investigate the numerical solutions of the Kawahara, KdV-Kawahara, and the modified Kawahara equations by using the meshless method based on collocation with radial basis functions. Results of ...
Graph-directed fractal interpolation functions
(Scientific Technical Research Council Turkey-Tubitak, 2017)
It is known that there exists a function interpolating a given data set such that the graph of the function is the attractor of an iterated function system, which is called a fractal interpolation function. We generalize ...
A notion of robustness and stability of manifolds
(Academic Press Inc Elsevier Science, 2008)
Starting from the notion of thickness of Parks we define a notion of robustness for arbitrary subsets of R-k and we investigate its relationship with the notion of positive reach of Federer. We prove that if a set M is ...
Tube volumes via functional equations
(Springer Basel Ag, 2015)
Tube formulas for convex sets and for smooth submanifolds of Euclidean spaces have long been of interest for geometers. In the last two decades there has been great progress on tube formulas for badly behaved spaces such ...
8th Grade Students' Construction Processes of the Concept of Slope
(Turkish Education Assoc, 2017)
Slope is a fundamental concept for numerous higher mathematical concepts, especially for derivative. Moreover, this concept is a cornerstone in many different areas such as art, architecture, engineering, and physics. Prior ...