Browsing by Author "Issa, K."

Now showing 1 - 6 of 6
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    APPROXIMATE SOLUTION OF NON-HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATION VIA IMQ RADIAL BASIS FUNCTION
    (Mathematical Association of Nigeria, 2017-12) Issa, K.; Yusuf, K. N.
    In recent years radial basis functions (RBFs) has play an important role in approximating functions, partial differential equations (PDEs). In this paper, the problem of solving non-homogeneous partial differential equations subject to the boundary conditions to approximate the solution of PDEs using inverse multiquadric radial basis function (IMQRBF). The results of numerical experiments are presented, and compared with the exact solutions to confirm the effectiveness and the accuracy of the scheme. All the computation was carried out using MATLAB codes.
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    Construction of nu-orthogonal polynomials and its implementation on di erential equation
    (Mathematical Association of Nigeria, 2023) Issah, A. Y.; Issa, K.
    In this paper, we construct some orthogonal polynomials using weight function of Jacobi polynomial P_j(alpha,beta )(x),j>0 with alpha and beta >-1, by varying the values of alpha and beta. . The obtained polynomials were used respect to each weight functions to obtain the approximate solutions to an ordinary differential equations via recursive formulation analogue to the tau method. The effectiveness and accuracy of the scheme were tested on some selected problems and the signfi cant of the proposed technique as it give the same degree of accuracy with results obtained using recursive tau method.
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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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    Development of an improved numerical integration scheme, its algorithm and application in the least square approximation
    (2022) Issah A. Y.; Issa, K.; Olorunnisola, S. A.
    In this paper, we derived an improved numerical integration for finding the approximation of functions. An algorithm was written for the implementation in the least square approximation via shifted Gegenbauer polynomials and subsequently, the accuracy was tested on some selected examples to show the suitability of the scheme. All the computations were done using Matlab.
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    NUMERICAL SOLUTION OF GENERALIZED EMDEN- FOWLER EQUATIONS BY SOME APPROXIMATION TECHNIQUES
    (Nigerian Mathematical Society, 2018-01-27) Yisa, B. M.; Issa, K.
    In this paper, we provide reliable approximations to the generalized Emden - Fowler equation using two semi -analytic methods; Adomian decomposition method and variational iteration method, and the recursive Tau method that employed Newton-Kantorovich approach. The three methods give very close results, with the semi - analytic methods giving results that agree completely with some existing results in the literature when certain parameters are fixed. The results are presented in both tabular and graphical forms.
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    Smoothness for Some Selected Test Functions Relative to Shape Parameter via IMQ
    (2017) Issa, K.; Sanni B. O.
    Radial basis function (RBF) approximation has the potential to provide accurate function approximations for large data site given at scattered node locations which yields smooth solutions for a given number of node points especially when the basis functions are scaled to be nearly at and when the shape parameter is choose wisely. In this paper, we concentrate on the choice of shape parameter, which must be choose wisely and the simplest strategy we adopt is to perform a series of interpolation experiments by varying the interval of shape parameter, and then pick the \best" one. The \best" was pick by checking the errors for different data sites and the smoothness of the error graphs. The results shows that the choice of interval for the shape parameter give better accuracy and smoothness of the graphs.