Now showing 1 - 10 of 13
  • Publication
    Development of green-Naghdi level I equation
    ( 2024)
    Siti Maryam Hafiza Mohd Kanafiah
    ;
    ;
    Mohd Ridza Mohd Haniffah
  • Publication
    Thermal properties and mass spectra of heavy mesons in the presence of a Point-Like defect
    ( 2024)
    Etido P. Inyang
    ;
    ; ; ; ;
    N.R. Ali
    ;
    Muhammad Muhammad Asjad
    In this research, the radial Schr¨odinger equation is solved analytically using the Nikiforov-Uvarov method with the Cornell potential. The energy spectrum and the corresponding wave function are obtained in close form. The effect of Topological Defect on the thermal properties and mass spectra of heavy mesons such as charmonium and bottomonium are studied with the obtained energy spectrum. It is found that the presence of the Topological Defect increases the mass spectra and moves the values close to the experimental data. Our results agreed with the experimental data and are seen to be improved when compared with other works.
      17  1
  • Publication
    The radial scalar power potential and its application to quarkonium systems
    The current study employs the Nikiforov-Uvarov method to solve the Schrödinger equation for quarkonium systems, utilizing the radial scalar power potential. The eigenvalues of energy and their corresponding wave functions are determined by including the spin–spin, spin–orbit, and tensor interactions in the radial scalar power potential. The mass spectra of charmonia, bottomonia, and bottom-charm in their S, P, D, and F states were determined. Our theoretical states for quarkonium systems align with experimental data across a range of spin levels, as evidenced by our comparison. The total percentage error of our work was computed, yielding a high level of accuracy. The cumulative percentage error for the meson masses of charmonia and bottomonia was determined to be 0.324% and 0.333%, respectively. The masses of the bottom-charm mesons had a total percentage error of 0.012%. Consequently, the present potential yields favorable outcomes for the quarkonium masses, surpassing previous theoretical studies and aligning well with experimental data.
      2  1
  • Publication
    Iteration Variational Method for Solving Two-Dimensional Partial Integro-Differential Equations
    ( 2020-08-13)
    Hussain A.K.
    ;
    Fadhel F.S.
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    ;
    The two-dimensional integro-differential partial equations is one of the so difficult problems to be solved analytically and/or approximately, and therefore, a method that is efficient for solving such type of problems seems to be necessary. Therefore, in this paper, the iteration methods, which is so called the variational iteration method have been used to provide a solution to such type of problems approximately, in which the obtained results are very accurate in comparison with the exact solution for certain well selected examples which are constructed so that the exact solution exist. Main results of this work is to derive first the variational iteration formula and then analyzing analytically the error term and prove its convergence to zero as the number of iteration increases.
      38  2
  • Publication
    Prediction of carbon concentration profile within carburised-carbon steel 1024 using Alternating Direction Implicit (ADI) method
    Pack carburisation is recognised to improve the carbon surface content of carburised-carbon steel 1024 that enhance the surface hardness and further can be used in automobiles, form implements, machines, gears and springs. The transient two-dimensional diffusion equation that represents the carbon concentration profile within the carburised-carbon steel 1024 is discretised using Alternating Direction Implicit (ADI) technique. A semi-analytical method is used to verify the ADI method and the numerical algorithm is developed in MATLAB software. To materialise the pack carburisation process, the boundary condition, initial condition and step time are encoded to signify the experiment conditions from the literature. The simulation results successfully predicted the carbon concentration profile within the carburised-carbon steel 1024 with variation of carburisation time (2 hours to 60 hours) and temperature (900°C - 1000°C). The effect of carburisation time and temperature are evaluated and the relation of both effects on the carbon development is explained. Simulation results show that carburisation extended to 60 hours only increases the carbon content at the core to 0.3wt % from 0.24 wt% of its original content. The small increment is satisfactory to maintain its ductility by hardening the surface.
      9  1
  • Publication
    A mini-review of coupled convection-diffusion equations in a fixed-bed adsorption
    (IOP Publishing, 2020)
    Nurhusnina Mohd Supian
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    ;
    Environmental contamination triggered by dyes has gained global attention. Industrial effluent of dye in high concentration into the rivers must be reduced to minimise the harmful effect on the quality of water that threatens human health. The removal of dye from wastewater is a significant step in addressing the problem of dye emission which can be achieved through adsorption separation technologies. In the most adsorption process, the adsorbent is in contact with fluid in a fixed bed. The performance of adsorptive separation of dye can be predicted through a fixed bed mathematical model which consists of coupled partial differential equations for optimizing the design and operating conditions. This paper presents a mini-review of mathematical modelling of fixed-bed adsorption of dye. The discussions are limited to the used of single component-dye separation in, convection-diffusion equations coupled with Langmuir isotherm. Besides, the numerical methods used for solving the convection-diffusion equations are also discussed in this paper.
      2  11
  • Publication
    Feature extraction of trademark images using Geometric Invariant Moment and Zernike Moment - a comparison
    ( 2004)
    Puteh Saad
    ;
    The qualities of features extracted determine the successfulness of any image related applications. This is particularly true especially when the natures of images are occluded and consist of various shapes and design styles, such as trademark images. In this study Geometric Invariant Moment and Zernike Moment techniques are utilized to extract sets of features from trademark images. The results obtained are analysed and compared in terms of intraclass invariance to various perturbations. It is found that a set of features produced by Zernike Moment technique is more robust when compared to features produced by Geometric Invariant Moment.
      2  22
  • Publication
    Effects of applied magnetic field on the optical properties and binding energies spherical GaAs quantum dot with donor impurity
    ( 2022)
    Collins Okon Edet
    ;
    Emre Bahadir Al
    ;
    Fatih Ungan
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    ; ; ; ;
    Muhammad Asjad
    The screened modified Kratzer potential (SMKP) model is utilized to scrutinize the impacts of an applied magnetic field (MF) on the binding energies and linear and nonlinear optical properties spherical GaAs quantum dot with donor impurity (DI). To accomplish this goal, we have used the diagonalization method to numerically solve the Schrödinger equation under the effective mass approximation for obtaining the electron energy levels and related electronic wave functions. The expressions used for evaluating linear, third-order nonlinear, and total optical absorption coefficients and relative refractive index changes were previously derived within the compact density matrix method. It has been shown here that the MF and DI impacts the characteristics of the absorption coefficients and the refractive index changes. This study’s results will find application in optoelectronics and related areas.
      1  11