Yazar "Karatas, Esra" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • [ X ]
    Öğe
    Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
    (Springer International Publishing Ag, 2015) Akgul, Ali; Inc, Mustafa; Karatas, Esra; Baleanu, Dumitru
    In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical examples are given in order to demonstrate the accuracy of the present method. The results obtained from the method are compared with the exact solutions and another method. The obtained numerical results are better than the ones provided by the collocation method. Results of numerical examples show that the presented method is simple, effective, and easy to use.
  • [ X ]
    Öğe
    REPRODUCING KERNEL FUNCTIONS FOR DIFFERENCE EQUATIONS
    (Amer Inst Mathematical Sciences-Aims, 2015) Akgul, Ali; Inc, Mustafa; Karatas, Esra
    In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now. We need these functions to solve difference equations with the reproducing kernel method. Therefore, these functions are very considerable functions.
  • [ X ]
    Öğe
    Solitary Wave Solutions for the Sawada-Kotera Equation
    (Amer Scientific Publishers, 2017) Inc, Mustafa; Kilic, Bulent; Karatas, Esra; Akgul, Ali
    In this paper, the solitary ansatz approach and the Hirota bilinear method are used to construct soliton solutions for the Sawada-Kotera equation (SKe). Topological, non-topological and multi-soliton solutions of the SKe are obtained. It is obtained the amplitude, the inverse width and the velocity of the soliton solutions. We plot two and three dimensional figures of the obtained some solutions by using Mathematica 9.