Browsing by Author "Okoya, Michael O."

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    Finite difference solution othird order viscous wave equation
    (International journal of engineering, science and mathematics, 2014) Oganga, Duncan.; Okoya, Michael O.; Aywa, Shem.; Lawi, George O.; Nthiiri, Joyce .
    A new numerical method for Nwogu’s (ASCE Journal of Waterway, Port, Coastal and Ocean En-gineering1993;119:618) two-dimensional extended Boussinesq equations is presented using a lineartriangular nite element spatial discretization coupled with a sophisticated adaptive time integrationpackage. The authors have previously presented a nite element method for the one-dimensional formof these equations (M. Walkley and M. Berzins (International Journal for Numerical Methods inFluids1999;29(2):143)) and this paper describes the extension of these ideas to the two-dimensionalequations and the application of the method to complex geometries using unstructured triangular grids.Computational results are presented for two standard test problems and a realistic harbour model. Copy-right?2002 John Wiley & Sons, Ltd
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    Mixed Galerkin finite element solution of the homogeneous Burgers equation
    (International Journal of Engineering and Scientific Research (IJESR), 2015-02-01) Adenyah, Rodgers K.; Okoya, Michael O.; shem, aywa; Oganga, Duncan
    The Burgers’ equation is a very useful mathematical model and can be used in solving a variety of interesting problems in applied mathematics. It models effectively certain problems of a fluid flow nature, in which either shocks or viscous dissipation is a significant factor. The mathematical theory behind the Burgers’ equation is rich and interesting, and, in the broad sense, is a topic of active mathematical research. In this study we solve the homogeneous Burgers’ equation using Galerkin mixed finite element method with Robin’s boundary conditions. We use our results to find out the effect of removing the diffusive term and the convective term on the solution of the Burgers’ equation. Our numerical results suggest that the omission of the convective term gives linear results. It is also observed that the approximations obtained without the diffusive term are not steady and they are non-convergent