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    Wyświetlanie 1-4 z 4
    Tytuł:
    Convergences Analysis from the Solution Function of the Riccati Fractional Differential Equation by Using Modified Homotopy Perturbation Method
    Autorzy:
    Sevira, Nurazizah M.
    Rusyaman, Endang
    Firdaniza, Firdaniza
    Subiyanto, Subiyanto
    Supian, Sudradjat
    Powiązania:
    https://bibliotekanauki.pl/articles/1059423.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Convergent
    Differential Equation
    Fractional
    Modified Homotopy Perturbation Method
    Riccati
    Opis:
    A Fractional differential equation is an equation that contains derivatives with an order of fractional numbers. Same with natural number order differential equations, this type of equation is divided into linear and nonlinear fractional differential equations. One of the equations that include nonlinear fractional differential equation is Riccati fractional differential equation (RFDE). Various methods have been applied to find solutions for fractional differential equations Riccati, one of them is the Modified Homotopy Perturbation Method (MHPM) which is a modification of the Homotopy Perturbation Method by Zaid Odibat and Shaher Momani. In this study, the MHPM was used to find solutions for fractional differential equations Riccati, which were then used to analyze the convergence of the function sequences of the solution. The result shows us that the order sequence of Riccati fractional differential equation which converges to a number causes the solution function sequence of Riccati fractional differential equation will converge to the function of the solution of Riccati fractional differential equation with the order of this number.
    Źródło:
    World Scientific News; 2019, 128, 2; 71-87
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Homotopy Perturbation Method of Hydromagnetic Flow and Heat Transfer of a Casson Fluid over an Exponentially Shrinking Sheet
    Autorzy:
    Murugesan, Thiagarajan
    Varshini, S.
    Kumar, M. Dinesh
    Powiązania:
    https://bibliotekanauki.pl/articles/1031915.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Casson Fluid
    Homotopy Perturbation method
    MHD
    Runge-Kutta method
    suction
    Opis:
    Nonlinear hydromagnetic flow and heat transfer of a Casson fluid over an exponentially shrinking sheet has been investigated. The fluid is assumed to be viscous, incompressible and electrically conducting. The similarity transformations are applied to reduce the non-linear partial differential equations into the non-linear ordinary differential equations. Homotopy Perturbation Method is used to solve the resulting non-linear differential equations under appropriate boundary conditions. The impact of Casson fluid parameter, magnetic interaction parameter, suction parameter and Prandtl number on both velocity and temperature profiles are shown graphically. Thermal boundary layer thickness decreases with increasing Prandtl number. Effect of Casson fluid parameter is to reduce both the velocity and temperature. Quantities of physical interest such as skin-friction coefficient, non-dimensional rate of heat transfer are solved numerically. A comparison reveals a remarkable agreement between the Homotopy Perturbation Method and Runge-Kutta fourth order method.
    Źródło:
    World Scientific News; 2020, 140; 59-78
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis for iron micro-particles in a gaseous oxidizing medium
    Autorzy:
    Yinusa, A. A.
    Sobamowo, M. G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1046539.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential transformation method
    Homotopy perturbation method
    Iron particle combustion
    Temperature distribution
    Thermal radiation
    Opis:
    In this paper, a comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis of iron micro-particles in a gaseous oxidizing medium is presented. Also, parametric studies are carried out to properly understand the reaction of the process and the associated burning time. Thermal radiation effect from the external surface of burning particle and variation of iron particle density with temperature are considered. The solutions obtained by DTM and HPM are compared with those of the fourth order Runge-Kutta numerical method. Results show that DTM has more accurate results between the two approximate analytical methods considered. Also, results show that by increasing the heat realized parameter, combustion temperature increased and it faster reaches to its constant value. It is envisaged that the present study will create tremendous insight into means of properly managing combustible micro particles exiting factories and production process organization.
    Źródło:
    World Scientific News; 2019, 138, 2; 93-112
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Study on the Effects of Inclined Magnetic Field, Flow Medium Porosity and Thermal Radiation on Free Convection of Casson Nanofluid over a Vertical Plate
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Makinde, O. D.
    Powiązania:
    https://bibliotekanauki.pl/articles/1046549.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Casson nanofluid
    Flow medium porosity
    Free convection
    Inclined magnetic field
    Thermal radiation
    Variational homotopy perturbation method
    Opis:
    In this paper, variational homotopy perturbation method with Padé approximant technique is applied to investigate the impacts of inclined magnetic field, flow medium porosity and thermal radiation on free convection flow and heat transfer of Casson nanofluids over a vertical plate. The accuracies of the developed analytical methods are verified by comparing the results of the analytical solutions with the results of past works as presented in literature. Thereafter, the analytical solutions are used to investigate the effects of thermal radiation; Prandtl number, nanoparticles volume-fraction, shape and type on the flow and heat transfer behaviour of various nanofluids over the flat plate. It is observed that both the velocity and temperature of the nanofluid as well viscous and thermal boundary layers increase with increase in the radiation parameter. The velocity and temperature of the nanofluid decreases and increases, respectively as the Prandtl number and volume-fraction of the nanoparticles in the basefluid increase. The maximum decrease in velocity and maximum increase in temperature are caused lamina shaped nanoparticle and followed by platelets, cylinder, bricks and sphere-shaped nanoparticles, respectively. It is hoped that the present study will enhance the understanding of free convection boundary-layer problems under the influence of thermal radiation as applied in various engineering processes.
    Źródło:
    World Scientific News; 2019, 138, 1; 1-64
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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