Browsing by Author "Aliu, T.O."

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    Corner Rules Method of Solving Transportation Problem
    (Earthline Publisher, 2022-07-07) Aliu, T.O.; Aderinto, Y. O.; Issa, K.
    Several approaches have been advanced for solving transportation problems. The most prominent of them in various text being, North West Corner Rule(NWCR), Least Cost Method(LCM), and Vogel’s Approximation Method(VAM). This paper considered three additional corner rules, which are North East Corner Rule(NECR), South West Corner Rule(SWCR) and South East Corner Rule(SECR). Algorithms ware provided for obtaining initial feasible solution to Transportation Problems. Three test examples were considered using the rules. The results revealed that the NECR and SWCR have equal result. While NWCR and SECR also produce the same result. NECR and SWCR however, better minimize transportation cost. The two methods are therefore recommended for use in any business organization requiring shipment of products.
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    Numerical Solution of Two dimensional Poison and Laplace Equation
    (Mathematical Association of Nigeria, Kwara State, 2017) Aliu, T.O.; O.M. Bamigbola; Montaz Ali
    The study identifies the use of Finite Element Method with both rectangular and Triangular elements in solving two di- mensional problems with Dirichlet boundary condition in a rectangular domain. We use the product functions of linear polynomial basis constructed by (Aliu & Bamigbola, 2014) on the rectangular elements. Attempt was made at con- structing the basis functions for Triangular elements. The Finite Difference scheme was also used for comparison. The results obtained using both the rectangular and triangular elements via the finite element method and the Central Fi- nite Difference Scheme compared favourably with the exact solution. The rectangular element however gives a better approximation.