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2015 | 13 | 1 |
Tytuł artykułu

On the Solution of Burgers’ Equation with the New Fractional Derivative

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Firstly in this article, the exact solution of a time fractional Burgers’ equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found byHopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger’s equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter ~ which we also determine. The numerical solution of Burgers’ equation with the analytical solution obtained by using the Hopf-Cole transform is compared.
Wydawca

Czasopismo
Rocznik
Tom
13
Numer
1
Opis fizyczny
Daty
otrzymano
2015-08-25
zaakceptowano
2015-11-10
online
2015-12-04
Twórcy
autor
  • Department of Mathematics,
    Mustafa Kemal University, Hatay, Türkiye
  • Department of Mathematics, Selçuk University,
    Konya, Türkiye
  • Department of Mathematics,
    Mustafa Kemal University, Hatay, Türkiye
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0045
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