Browsing by Author "Kaplan, Ayşe Gül"
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Bazı kısmi türevli diferansiyel denklemlerin hareketli en küçük kareler collocatıon metodu ile sayısal çözümleri
Kaplan, Ayşe Gül (Anadolu Üniversitesi, 2015)Bilim ve mühendisliğin pek çok alanında ortaya çıkan problemleri modellemek için genellikle lineer olmayan kısmi türevli diferansiyel denklemler kullanılır. Bu denklemler öncelikle analitik olarak çözülmeye çalışılır. Fakat ... -
A meshless method and stability analysis for the nonlinear Schrodinger equation
Kaplan, Ayşe Gül; Dereli, Yılmaz (Taylor & Francis LTD, 2017)In this paper, the non-linear Schrodinger (NLS) equation was solved by a meshless method based on the moving least-squares approximation. Single-soliton solution and interaction of two colliding solitons were studied to ... -
Numerical solutions of the GEW equation using MLS collocation method
Kaplan, Ayşe Gül; Dereli, Yılmaz (World Scientific Publ Co Pte LTD, 2017)In this paper, the generalized equal width wave (GEW) equation is solved by using moving least squares collocation (MLSC) method. To test the accuracy of the method some numerical experiments are presented. The motion of ... -
Numerical Solutions of the Mrlw Equation Using Moving Least Square Collocation Method
Kaplan, Ayşe Gül; Dereli, Yılmaz (Ankara University, Fac Sci, 2017)In this paper, the Modified Regularized Long Wave (MRLW) equation is solved by using moving least square collocation (MLSC) method. To show the accuracy of the used method several numerical test examples are given. The ... -
Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions
Kaplan, Ayşe Gül; Dereli, Yılmaz (Tech Science Press, 2012)In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of two positive solitary ...
