Mathematics

Permanent URI for this collectionhttps://irepos.unijos.edu.ng/handle/123456789/11436

Browse

Start date: 2021End date: 2021

Search Results

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems
    (SCIENCE FORUM (JOURNAL OF PURE AND APPLIED SCIENCES), 2021-08-12) Joshua Sunday1; Joshua A. Kwanamu; Nathaniel M. Kamoh; Yusuf Skwame
    Boundary value problems (BVPs) of higher order have been found to be potentially applicable in hydro-magnetic stability, hydrodynamics, chemical reactions, heat power transmission theory, and the boundary layer theory in fluid mechanics. In this research, a method which decomposes the solution into the series which converges rapidly shall be derived. We shall call this method the reformulated Adomian decomposition method (RADM). This method is an improvement over Aadomian decomposition method (ADM). The RADM is derived in such a way that on imposing the boundary conditions on the approximant, a system of equations is obtained which in turn is solved for the undetermined constants. On substituting the resulting constants into the solution function, we obtain a series solution to the problem. The RADM is applied on some linear and nonlinear two-point BVPs and from the results obtained, the method is said to be computationally reliable.
  • No Thumbnail Available
    Item
    An Adaptive Method using the L-Weno Reconstruction
    (International Journal of Engineering Applied Sciences and Technology, 2021-10) Mrumun C. Soomiyol; Terhemen Aboiyar; Nathaniel M Kamoh
    In this work, an adaptive formulation of the Legendre - Weighted Essentially Non-Oscillatory (L-WENO) method is used to solve some problems of two-dimensional linear conservation laws on unstructured triangular mesh. The mesh adaptivity is used to improve the performance of the method. Although the results with the L-WENO method gets better as the mesh is refined, the mesh adaptation algorithm was able to improve the quality of the numerical approximation and reduce computational cost by refining and coarsening the computational mesh based on some specified criteria.