Papers by Bernardine Renaldo Wong Cheng Kiat
Symmetry, 2019
This article examines magnetohydrodynamic 3D nanofluid flow due to a rotating disk subject to Arr... more This article examines magnetohydrodynamic 3D nanofluid flow due to a rotating disk subject to Arrhenius activation energy and heat generation/absorption. Flow is created due to a rotating disk. Velocity, temperature and concentration slips at the surface of the rotating disk are considered. Effects of thermophoresis and Brownian motion are also accounted. The nonlinear expressions have been deduced by transformation procedure. Shooting technique is used to construct the numerical solution of governing system. Plots are organized just to investigate how velocities, temperature and concentration are influenced by various emerging flow parameters. Skin-friction Local Nusselt and Sherwood numbers are also plotted and analyzed. In addition, a symmetry is noticed for both components of velocity when Hartman number enhances.
Optical and Quantum Electronics, 2019
Here, collective variables approach is applied to obtain optical solitons in the presence of pert... more Here, collective variables approach is applied to obtain optical solitons in the presence of perturbation terms. Gaussian solitons are selected to retain the pulse to establish soliton setting. The numerical simulations of soliton parameters are performed for specific values of the Gaussian pulse parameters.
Physics of Wave Phenomena, 2018
Here, optical soliton perturbation with quadratic-cubic nonlinearity has been discussed by applyi... more Here, optical soliton perturbation with quadratic-cubic nonlinearity has been discussed by applying Lie symmetry and group invariants. The perturbation terms include third and fourth order dispersions in addition to self-steepening, intermodal dispersion and higher order dispersion effects. Using presented algorithms, Bright and dark soliton solutions are revealed.
There has been much research in how to accurately and efficiently solve the time-dependent Schröd... more There has been much research in how to accurately and efficiently solve the time-dependent Schrödinger equation (TDSE) for scattering solutions within a bounded domain. A fruitful approach has involved the use of discrete transparent boundary conditions (DTBC), which have led to the elimination of spurious reflections at the boundaries of the spatial domain. The approach has been shown to improve the wave-function obtained as a function of the space step and time step, which is accurate to second order in the time step and fifth order in the space step. In this work, we discuss the solution of one-dimensional TDSE in a bounded domain subject to DTBC with higher order of accuracy which is accurate to fourth order in the time step. Then, we apply the approach to various forms of potential energy and snapshots of the wave function at a variety of times are given.
Revista de la Unión Matemática Argentina
Recently, we have shown that there do not exist the warped product semi-slant submanifolds of cos... more Recently, we have shown that there do not exist the warped product semi-slant submanifolds of cosymplectic manifolds [10]. As nearly cosymplectic structure generalizes cosymplectic ones same as nearly Kaehler generalizes Kaehler structure in almost Hermitian setting. It is interesting that the warped product semi-slant submanifolds exist in nearly cosymplectic case while in case of cosymplectic do not exist. In the beginning, we prove some preparatory results and finally we obtain an inequality such as $\|h\|^2 \geq 4q\csc^2\theta\{1+\frac{1}{9}\cos^2\theta\}\|\nabla \ln f\|^2$ in terms of intrinsic and extrinsic invariants. The equality case is also considered.
In this paper, optimal control for fuzzy linear partial differential algebraic equations (FPDAE) ... more In this paper, optimal control for fuzzy linear partial differential algebraic equations (FPDAE) with quadratic performance is obtained using Simulink. By using the method of lines, the FPDAE is transformed into a fuzzy differential algebraic equations (FDAE). Hence, the optimal control of FPDAE can be found out by finding the optimal control of the corresponding FDAE. The goal is to provide optimal control with reduced calculus effort by the solutions of the matrix Riccati differential equation (MRDE) obtained from Simulink. Accuracy of the solution of the Simulink approach to the problem is qualitatively better. The advantage of the proposed approach is that, once the Simulink model is constructed, it allows to evaluate the solution at any desired number of points spending negligible computing time and memory and the solution curves can be obtained from the model without writing any code. An illustrative numerical example is presented for the proposed method.
AIP Conference Proceedings, 2014
ABSTRACT A coupled-channel-optical method (CCOM), to investigate the excitation of the 3p states ... more ABSTRACT A coupled-channel-optical method (CCOM), to investigate the excitation of the 3p states for e--Na scattering at intermediate energies, is reported. Nine atomic states( Na(3s), Na(3p), Na(4s), Na(3d), Na(4p), Na(5s), Na(4d), Na(5p), Na(5d) ) together with three optical potentials are used in this work. The inelastic differential cross sections (DCS) as well as the reduced Stokes parameters are compared with latest theoretical data and experimental measurements.
Journal of Inequalities and Applications, 2014
In this paper, we study warped product submanifolds of nearly trans-Sasakian manifolds. The non-e... more In this paper, we study warped product submanifolds of nearly trans-Sasakian manifolds. The non-existence of warped product semi-slant submanifolds of typeNθ×fNTis shown, whereas some characterization and new geometric obstructions are obtained for the warped products of typeNT×fNθ. We establish two general inequalities for the squared norm of the second fundamental form. The first inequality generalizes derived inequalities for some contact metric manifolds (Kadriet al.in J. Korean Math. Soc. 42:1101-1110, 2005; Munteanu in Publ. Math. (Debr.) 66:75-120, 2005; Mustafaet al.in Taiwan. J. Math. 17:1473-1486, 2013; Uddin and Khan in J. Inequal. Appl. 2012:304, 2012), while by a new technique, the second inequality is constructed to express the relation between extrinsic invariant (second fundamental form) and intrinsic invariant (scalar curvatures). The equality cases are also discussed.MSC:53C40, 53C42, 53C15.
Journal of the Optical Society of America A, 1998
The asymptotic theory of eikonal approximation permits electromagnetic fields to be described loc... more The asymptotic theory of eikonal approximation permits electromagnetic fields to be described locally in terms of plane waves and the trajectory to be described as space-time rays. Properties of these space-time rays in a dispersive medium can be studied through the effective index of refraction defined by the higher-order spacetime eikonal equation. From the analysis it is shown that the diffraction effects due to the finite size of the beam and the dispersion effects due to the finite pulse width can be treated in a unified manner in the generalized space-time eikonal equation. The space-time rays of a Gaussian pulse in a dispersive medium can be readily solved analytically and shown to provide results similar to those obtained by the Fourier transformation method.
Journal of Physics G: Nuclear and Particle Physics, 1989
ABSTRACT
Journal of Physics G: Nuclear and Particle Physics, 1990
ABSTRACT
Journal of Physics A: Mathematical and General, 1998
A simple compact closed-form expression is derived from the definite integral 0305-4470/31/3/019/... more A simple compact closed-form expression is derived from the definite integral 0305-4470/31/3/019/img1 using a convenient analytical formula for the associated Legendre function 0305-4470/31/3/019/img2. This result is easily generalized for integrands involving products of an arbitrary number of associated Legendre polynomials.
Journal of Physics: Conference Series, 2012
In this work we present the results of the numerical investigations of the one-dimensional single... more In this work we present the results of the numerical investigations of the one-dimensional single-fluid magneto-hydrodynamics (MHD) model, with separate electron and ion temperatures, of a capillary-discharge collisional soft x-ray laser. The MHD equations are solved by the Lagrangian cylindrical geometry approach. The effects of the gas filling pressure on the plasma densities and temperatures, and implosion-pinch phase for soft
Abstract and Applied Analysis, 2012
We study warped product pseudo-slant submanifolds of a nearly cosymplectic manifold. We obtain so... more We study warped product pseudo-slant submanifolds of a nearly cosymplectic manifold. We obtain some characterization results on the existence or nonexistence of warped product pseudoslant submanifolds of a nearly cosymplectic manifold in terms of the canonical structures P and F.
The Woods-Saxon potential is probably the most studied and widely used short range potential in a... more The Woods-Saxon potential is probably the most studied and widely used short range potential in all of nuclear physics. For the angular momentum l= 0 case, Flügge had devised a method to obtain an analytical expression for the bound state energies of the radial time-independent Schrӧdinger equation for a neutron confined in a Woods-Saxon potential well. In this study, we extend Flügge's method to solve the radial Schrӧdinger equation for a neutron within the Woods-Saxon potential and the centrifugal potential for arbitrary values of l. Here, the Pekeris method is used to deal with the centrifugal term. We obtain an analytical expression for the bound states, valid for arbitrary angular momentum, and show that our expression reduces to that of Flügge, which applies to the l= 0 case. The numerical computations performed also show very good agreement with our analytical expression.
Computer Physics Communications, 1972
Direct reactions between heavy ions have been studied widely using semi-classical theories. The D... more Direct reactions between heavy ions have been studied widely using semi-classical theories. The Distorted Wave Born Approximation or DWBA has been extensively applied to analyse transfer reaction processes. Initial attempts to gain insights into the simple semi-classical parametrisation starting from the DWBA had focused mainly on neutron transfer reactions. An analytical formula for the semi-classical amplitude for the transfer of a single neutron between bound classical orbits states in heavy ion collisions that agrees well with the DWBA calculations has been successfully derived. In this paper, we have successfully derived the corresponding analytical expression for the proton transfer amplitude by using a technique analogous to the transfer of a single neutron between bound states. Our result reduces to the well known expression for the neutron transfer amplitude in the limit that the nuclear charge tends to zero.
This study investigated the use of group projects in enhancing the learning of Scientific Computi... more This study investigated the use of group projects in enhancing the learning of Scientific Computing (SJEM 3441) during Semester 1, 2016/2017 Academic Session, for a cohort of 17 undergraduates at the Institute of Mathematical Sciences. There were four (4) groups, three (3) of which comprised four (4) students while the remaining group had five (5) students. The four (4) projects Involved application of scientific computing concepts to model real-world situations. The projects were of seven (7) weeks duration, after which presentations were made to the entire class. The presentations were evaluated by the audience. Peer assessments and end-of-semester survey were also conducted. While the small sample size precludes a definitive statistical analysis, student feedback suggests that Involvement In group projects enhanced appreciation of the concepts learnt during the course and enabled students to further develop soft skills such as analytical thinking, the ability to work In groups an...
We implement a space-time trajectory approach to study the relativistic Coulomb excitation of the... more We implement a space-time trajectory approach to study the relativistic Coulomb excitation of the giant dipole resonance and double giant dipole resonance in nuclei. The results of calculation are compared with some experimental results (~700MeV). Besides that we will extend the space-time trajectory approach to the intermediate and low energy Coulomb excitation by including recoil effects which start to become significant at this range of energy.
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Papers by Bernardine Renaldo Wong Cheng Kiat