WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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2013 - 20164

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Publisher: search.filters.publisher.Editura Acad RomaneSubject: search.filters.subject.Approximate Solution

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 34
    Citation - Scopus: 30
    New Solutions of the Transport Equations in Porous Media Within Local Fractional Derivative
    (Editura Acad Romane, 2016) Zhang, Yu; Baleanu, Dumitru; Baleanu, Dumitru; Yang, Xiao-Jun; Matematik
    In this manuscript we use the series expansion method within local fractional derivative to obtain the solutions of both homogeneous and non-homogeneous transport equations. The new reported solutions are able to describe more efficiently the behavior of solutions of the transport phenomena in porous media.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 16
    On a One-Dimensional Nonlinear Coupled System of Equations in the Theory of Thermo Elasticity
    (Editura Acad Romane, 2013) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, A.K.; Baleanu, D.; Golmanichaneh, Alireza K.; Matematik
    The thermoelasticity deals with predicting the thermo mechanical treatment of elastic solids and it is a generalization of the classical theory of elasticity and the theory of thermal conductivity. In this manuscript, the system of nonlinear partial differential equations such as the Cauchy problem which appears in a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity is studied. The homotopy analysis method was used to perform successfully the numerical calculations.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 7
    A Numerical Solution of the Urysohn-Type Fredholm Integral Equations
    (Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Measoomy, S. A.; Golmankhaneh, Alireza K.; Baleanu, D.; Matematik
    In the present paper, a combination of the Bernstein polynomials and artificial neural networks (ANNs) is presented for solving the non-linear Urysohn equation. These polynomials are utilized to reduce the solution of the given problem to the solution of a system of non-linear algebraic equations. The remaining set of non-linear equations is solved numerically by using the ANNs approach to yield truncated Bernstein series coefficients a the solution function. Several illustrative examples with numerical simulations are provided to support the theoretical claims.
  • Article
    Citation - WoS: 20
    Homotopy Analysis Method for Solving Coupled Ramani Equations
    (Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, D.; Matematik
    In this manuscript, coupled Ramani equations are solved by means of an analytic technique, namely the homotopy analysis method (HAM). The HAM is a capable and a straightforward analytic tool for solving nonlinear problems and does not need small parameters in the governing equations and boundary/initial conditions. The result of this study presents the utility and sufficiency of HAM method. Comparisons demonstrate that there is a good agreement between the HAM solutions and the exact solutions.