Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Publisher: search.filters.publisher.Vinca inst Nuclear SciSubject: search.filters.subject.Local Fractional Variational Iteration Method

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 239
    Citation - Scopus: 253
    Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method
    (Vinca inst Nuclear Sci, 2013) Baleanu, Dumitru; Yang, Xiao-Jun
    This paper points out a novel local fractional variational iteration method for processing the local fractional heat conduction equation arising in fractal heat transfer.
  • Article
    Citation - WoS: 55
    Citation - Scopus: 84
    A Modification Fractional Variational Iteration Method for Solving Non-Linear Gas Dynamic and Coupled Kdv Equations Involving Local Fractional Operators
    (Vinca inst Nuclear Sci, 2018) Jassim, Hassan Kamil; Khan, Hasib; Baleanu, Dumitru
    In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative and integral operators. This method is the combination of the local fractional Laplace transform and variational iteration method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
  • Conference Object
    Citation - WoS: 16
    Citation - Scopus: 15
    A New Numerical Technique for Solving Fractional Sub-Diffusion and Reaction Sub-Diffusion Equations With A Non-Linear Source Term
    (Vinca inst Nuclear Sci, 2015) Baleanu, Dumitru; Mallawi, Fouad; Bhrawy, Ali H.
    In this paper, we are concerned with the fractional sub-diffusion equation with a non-linear source term. The Legendre spectral collocation method is introduced together with the operational matrix of fractional derivatives (described in the Caputo sense) to solve the fractional sub-diffusion equation with a non-linear source term. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplifying the problem. In addition, the Legendre spectral collocation methods applied also for a solution of the fractional reaction sub-diffusion equation with a non-linear source term. For confirming the validity and accuracy of the numerical scheme proposed, two numerical examples with their approximate solutions are presented with comparisons between our numerical results and those obtained by other methods.