Yazar "Kilicman, Adem" seçeneğine göre listele

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    A new approach for one-dimensional sine-Gordon equation
    (Springer International Publishing Ag, 2016) Akgul, Ali; Inc, Mustafa; Kilicman, Adem; Baleanu, Dumitru
    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 results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.
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    Öğe
    ANALYTIC APPROXIMATE SOLUTIONS FOR FLUID-FLOW IN THE PRESENCE OF HEAT AND MASS TRANSFER
    (Vinca Inst Nuclear Sci, 2018) Kilicman, Adem; Khan, Yasir; Akgul, Ali; Faraz, Naeem; Akgul, Esra Karatas; Inc, Mustafa
    This paper outlines a comprehensive study of the fluid-flow in the presence of heat and mass transfer. The governing non-linear ODE are solved by means of the homotopy perturbation method. A comparison of the present solution is also made with the existing solution and excellent agreement is observed. The implementation of homotopy perturbation method proved to be extremely effective and highly suitable. The solution procedure explicitly elucidates the remarkable accuracy of the proposed algorithm.