A lecturer from the Department of Mathematics Publishes a Scientific Research Paper on the Approximate Solution of the Fractional Nonlinear Navier-Stokes Equation Coupled to a Two-Dimensional Fluid Model Using a Hybrid Technique
A lecturer from the Department of Mathematics Publishes a Scientific Research Paper on the Approximate Solution of the Fractional Nonlinear Navier-Stokes Equation Coupled to a Two-Dimensional Fluid Model Using a Hybrid Technique
Asst. Prof. Dr. Bassem Karim Khadir from the Department of Mathematics published a scientific research paper titled “Approximate Solution of the Fractional Nonlinear Navier-Stokes Equation Coupled to a Two-Dimensional Fluid Model Using a Hybrid Technique.” It was published in a Malaysian Journal of Mathematical Sciences and included in Scopus (Q3). The research aimed to find an approximate solution to the fractional nonlinear Navier-Stokes equation (FCNSE) in two dimensions using a hybrid technique. Therefore, we propose a hybrid S-transform with a homomorphic perturbation method to solve this model. The research also included the fractional Navier-Stokes equation for a fluid model where the differentiation is of a non-integer order. In addition, some basic definitions are discussed. The S-transform with homotopy perturbation is an excellent combination in applied mathematics and engineering, allowing the FCNSE equation to be transformed into algebraic equations. The study concluded that the unknown function can be obtained with some modifications using the inverse S-transform. To demonstrate the effectiveness and capabilities of the proposed innovation, various illustrative examples were applied.
