We studied the approximate analytical scattering state of the Duffin -Kemmer -Petiau (DKP) equation for arbitrary l -state for couple Hulthen -Woods -Saxon potential using the Pekeris approximation for the centrifugal term. We obtained an energy spectrum, normalised radial wave functions of the scattering states, and the corresponding formula for the phase shifts, which is derived in detail. Special cases of Hulthen and Woods -Saxon potentials were also studied.

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This paper presents approximate analytical solutions of the Dirac equation for the Hulthén potential with position-dependent mass within the framework of pseudospin symmetry limit using the Nikiforov-Uvarov method. The results showed the relativistic energy spectrum and the corresponding un-normalized wave function expressed in terms of the Jacobi polynomials.

This study considers the biomechanics in the stem of green plants. The process of translocation and transpiration is discussed. The coupled non-linear differential equations governing the motion of the flow were non-dimensionlized and then solved using the homotopy perturbation method. The effects of various parameters such as Schmidt number, porosity, buoyancy forces (thermal and concentration Grashof numbers) and aspect ratio embedded in the flow were examined on the concentration field. The results showed that increasing the porosity, Schmidt number, Sherwood number and aspect ratio resulted to a decrease in the concentration field whereas increase in the buoyancy forces had a positive effect on the flow by increasing its concentration and hence enhancing the growth and productivity of the plant.