Yazar "Kaya, Dogan" seçeneğine göre listele

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    Öğe
    A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method
    (Elsevier Science Inc, 2006) Polat, Necat; Kaya, Dogan; Tutalar, H. Ilhan
    In this paper, we present an Adomian's decomposition method (shortly ADM) for numerical approximation traveling-wave solutions of the modified Kawahara equation. The numerical solutions are compared with the known analytical solutions. We also prove the convergence of Adomian decomposition method (ADM) applied to the modified Kawahara equation. (c) 2005 Elsevier Inc. All rights reserved.
  • [ X ]
    Öğe
    A analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method
    (Elsevier Science Inc, 2006) Polat, Necat; Kaya, Dogan; Tutalar, H. Ilan
    In this paper, we present an Adomian's decomposition method (shortly ADM) for numerical approximation traveling wave solutions of the modified Kawahara equation. The numerical solutions are compared with the known analytical solutions. We also prove the convergence of Adomian decomposition method (ADM) applied to the modified Kawahara equation. (c) 2006 Elsevier Inc. All rights reserved.
  • [ X ]
    Öğe
    Blow up of solution for the generalized Boussinesq equation with damping term
    (Walter De Gruyter Gmbh, 2006) Polat, Necat; Kaya, Dogan
    We consider the blow up of solution to the initial boundary value problem for the generalized Boussinesq equation with damping term. Under some assumptions we prove that the solution with negative initial energy blows up in finite time.
  • [ X ]
    Öğe
    Existence, Asymptotic Behaviour, and Blow up of Solutions for a Class of Nonlinear Wave Equations with Dissipative and Dispersive Terms
    (Walter De Gruyter Gmbh, 2009) Polat, Necat; Kaya, Dogan
    We consider the existence, both locally and globally in time, the asymptotic behaviour, and the blow up of solutions to the initial boundary value problem for a class of nonlinear wave equations with dissipative and dispersive terms. Under rather mild conditions on the nonlinear term and the initial data we prove that the above-mentioned problem admits a Unique local solution, which call be continued to I global solution, and the solution decays exponentially to zero as t -> + infinity. Finally, under a suitable condition oil the nonlinear term, we prove that the local solutions with negative and nonnegative initial energy blow up in finite time.