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Browsing Matematik Bölümü by Subject "Reproducing Kernel Method"

Browsing Matematik Bölümü by Subject "Reproducing Kernel Method"

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  • A new approach for one-dimensional sine-Gordon equation 
    Akgül, Ali; İnç, Mustafa; Kılıçman, Adem; Baleanu, Dumitru (Springer, 2016-01-08)
    In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired ...
  • Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique 
    Akgül, Ali; İnç, Mustafa; Karataş, Esra; Baleanu, Dumitru (Springer International Publishing, 2015-07-16)
    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 ...
  • Solutions of nonlinear systems by reproducing kernel method 
    Akgül, Ali; Khan, Yasir; Akgül, Esra Karataş; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (Int Scientific Research Publications, 2017)
    A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system ...