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Ordinary µ capture is useful for probing the neutrino nuclear responses for double beta decay especially in the β+ side region. The aim of this study is to measure the prompt and delayed gamma rays from NatMo (µ,xnv) and 100Mo (µ,xnv) reactions and calculate the relative capture strength, β(µ,E) using the Proton-Neutron Emission Model (PNEM). Experimental data of NatMo and 100Mo targets irradiated by negative µ at MuSIC Facility, Osaka University are analysed and the production rates, and the mass distribution were obtained. The experimental data was compared with the mass distribution calculation using PNEM to get the β(µ,E). The giant resonance (GR) like distribution was observed with the first GR peak around 12 MeV. [ABSTRACT FROM AUTHOR]

Magnetic field effect on double diffusive convection in an electrically conducting viscoelastic fluid saturated porous layer in the presence of internal heat source is studied analytically using linear stability analysis. Porous medium is confined between two horizontal planes under the effect of vertical magnetic field. The linear stability analysis is based on normal mode technique. The modified Darcy law including time derivative for the viscoelastic fluid of Maxwell type is used to model the momentum equation. The onset criterion for stationary convection is derived analytically. The effects of magnetic field and internal heat parameters on the stability of the system are investigated. [ABSTRACT FROM AUTHOR]

In this paper, a Newtonian nanofluid flow over a stretching surface is considered to examine the effects of zero and nonzero normal fluxes towards the profiles of the flow. Using similarity transformations, the nonlinear governing equations of the model are reduced to a set of nonlinear ordinary differential equations. The zero and nonzero normal fluxes appear in the initial condition for the nanoparticle volume fraction. A semi-analytic approach will be employed to solve this model. The expression of Sherwood number for the nanofluid flow under the zero normal flux condition which is claimed to be identically zero by previous researchers will be discussed. The numerical results obtained for selected values of emerging parameters are also tabulated and graphed. [ABSTRACT FROM AUTHOR]

In this paper, we propose a direct method based on Bernstein polynomials for solving systems of secondorderordinary differential equations (ODEs). This method gives a numerical solution by converting thesystem to a system of algebraic equations which is solved directly. Some numerical examples are givento show the applicability of the method. [ABSTRACT FROM AUTHOR]

Double diffusive convection in a binary viscoelastic fluid saturated porous layer in the presence of cross diffusion effects and internal heat source is studied analytically using linear stability analysis. The linear stability analysis is based on normal mode technique. The modified Darcy law for the viscoelastic fluid of the Oldroyd type is used to model the momentum equation. The onset criterion for stationary convection is derived analytically. The effects of Dufour, Soret and internal heat source parameters on the stability of the system are investigated. [ABSTRACT FROM AUTHOR]

Effect of viscous dissipation on MHD thermal boundary layer flow over a nonlinearly stretching sheet is studied. The Navier-Stokes equations and the heat equation are reduced to two nonlinear ordinary differential equations via similarity transformations. The effects of the various parameters on the velocity and temperature profiles are presented graphically and discussed. [ABSTRACT FROM AUTHOR]

Double-diffusive natural convection in an open top square cavity and partially heated from the side is studied numerically. Constant temperatures and concentration are imposed along the right and left walls while the heat balance at the surface is assumed to obey Newton's law of cooling. The finite difference method is used to solve the dimensionless governing equations. The numerical results are reported for the effects of Marangoni number and different heater locations on the contours of streamlines, temperature and concentration. The heat and mass transfer rate in the cavity are measured in terms of the average Nusselt and Sherwood numbers. [ABSTRACT FROM AUTHOR]

A new analytical method namely optimal homotopy asymptotic method (OHAM) has been used in this study to find algorithm of approximate analytic solution for linear delay differential equations (DDEs). This approach provides us with a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The approximate solution which is obtained by OHAM is in a very good a agreement with the exact solution. [ABSTRACT FROM AUTHOR]

The [formula]-expansion method is used for the first time to find the traveling wave solution of sixth-order thin-film equation when the balance numbers of which are not positive integers. New types of exact traveling wave solutions, such as, solitary wave solutions are obtained to the sixth-order thin-film equation and special case (n = 3), when the parameters are taken at special values. [ABSTRACT FROM AUTHOR]

The aim of the present study is to investigate the effect of the location of the heater on natural convection in a square cavity in the presence of uniform external magnetic field. The effect of orientation of magnetic field is also studied. The left wall has been heated discretely with higher temperature, whereas the right wall is maintained at lower temperature. Three different locations of heater are taken along the left wall. The governing equations are solved by the finite volume method. The heat transfer rate is enhanced on placing the heater at middle of the left wall of the cavity. [ABSTRACT FROM AUTHOR]

In this paper, we consider the higher order nonlinear rational difference equation xn+1 = α+βxn+γxn-kA+Bxn+Cxn-k,n = 0,1,2,... where the parameters α, β, γ, A, B, C, and the initial condition x-k,...,x-1,x0 are positive real numbers, k ∈ {1,2,...}. We investigate the global asymptotic stability, invariant intervals, periodic behavior of all positive solutions of the equation. [ABSTRACT FROM AUTHOR]

The prey-predator problem is simulated by an adaptation of the classical Adomian decomposition method (ADM). The classical ADM is converted into a hybrid numeric-analytic method called the multistage ADM (MADM). The decomposition solutions presented by previous authors are corrected. The numerical results obtained from the MADM and the classical fourth-order Rungge-Kutta (RK4) method are in complete agreement. [ABSTRACT FROM AUTHOR]

In this paper, we propose for the first time a method based on Bernstein polynomials for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by converting the equation into a system of algebraic equations which is solved directly. Some numerical examples are given to show the applicability of the method. [ABSTRACT FROM AUTHOR]