Browsing by Author "Bello, K.A."
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Item Approximation of Time-Fractional Partial Differential Equations with Caputo Derivatives by Laplace Sequential Iterative Decomposition Method(2014) Taiwo, O. A.; Bello, K.A.In this paper, iterative decomposition method is coupled with the Laplace transformation method and used to solve time fractional partial differential equations. The results obtained by the new proposed method are exact. Numerical examples are given to illustrate the reliability and applicability of the proposed method.Item Casson rheological flow model in an inclined stenosed artery with non‑Darcian porous medium and quadratic thermal convection(Journal of the Egyptian Mathematical Society, 2022) Abubakar, Jos U.; Omolesho, Q.A.; Bello, K.A.; Basambo, A.M.The current study investigates the combined response of the Darcy–Brinkman–Forchheimer and nonlinear thermal convection influence among other fluid parameters on Casson rheology (blood) flow through an inclined tapered stenosed artery with magnetic effect. Considering the remarkable importance of mathematical models to the physical behavior of fluid flow in human systems for scientific, biological, and industrial use, the present model predicts the motion and heat transfer of blood flow through tapered stenosed arteries under some underline conditions. The momentum and energy equations for the model were obtained and solved using the collocation method with the Legendre polynomial basis function. The expressions obtained for the velocity and temperature were graphed to show the effects of the Darcy–Brinkman–Forchheimer term, Casson parameters, and nonlinear thermal convection term among others. The results identified that a higher Darcy–Brinkman number slows down the blood temperature, while continuous injection of the Casson number decreases both velocity and temperature distribution.Item Farmers Perception of the Importance of Pest and Disease in Vegetable Production in Zamfara State of Nigeria.(Horticultural Society of Nigeria., 2009) Balogun, O.S.; Bello, K.A.; Aliyu, T.H.; Bolarin, O.Item Numerical Integration of Seventh Order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials(Nigerian Journal of Mathematics and Applications, 2017) Bello, K.A.; Taiwo, O.A.; Abdulkareem, A.; Abubakar, Jos U.Based on standard collocation technique, four (4) different orthogonal polynomials were used as basis functions in the numerical treatment of seventh (7th) order boundary value problems in Ordinary Differential Equations. The performance of each of these polynomials as basis function in the trial solution was then compared. The results obtained from three examples showed that Chebyshev polynomial is the best in term of performance, and closely followed by Hermites polynomial, which was followed by Legendre polynomial while the least in performance is Laguerre polynomial.Item Numerical Solution of Fourth order Integro-Differential Equations by Least Square Approximation Method using Chebyshev Polynomials as Basis Function(JOURNAL OF SCIENCE TECHNOLOGY AND EDUCATION, 2023-03) Abubakar, Jos U.; Bello, K.A.; Taiwo, O.A.; Odetunde, O.S.; Azeez, G.O.In this paper, Least square approximation method is used as numerical solution of fourth order integro-differential equations using Chebyshev polynomials of the first kind as basis function. The method assumed an approximate solution using Chebyshev polynomial functions which are then substituted into the problem considered. Then the like terms of the unknown coefficients are collected and simplified. The resulting equation is minimized using the least square approximation, thus resulted into linear algebraic systems of equations which are then solved by Gaussian Elimination method, to obtain the unknown constants substituted back into the assumed approximate solution to get the required approximate solution. Numerical solutions are given to illustrate the accuracy of the methods discussed in the work. Also, absolute errors of the problem are presented in tabular forms.Item Physical modification of Nylon-6 for improving dyeing quality of selected acid dyes on fabrics and variation of their thermodynamic parameters(Faculty of Pure and Applied Sciences, LAUTECH, Nigeria, 2010) Bello, I.A.; Bello, K.A.; Giwa, A.A.; Owolabi, R.U.; Adebayo, G.B.Nylon-6 fabric was chemically modified with one agent (NH4)2S04 The dyes applied to nylon 6 were synthesized by acetylating the amino group of H-acid and the products, coupled to different diazo coupling components. The percentage exhaustion (%E) of the nylon with each dye were determined spectrophotometrically, using both unmodified fabric and the modified fabric at constant temperature of 95°C .The results show that higher % exhaustion, which is a measure of increase in dye up- take by the fabric, occurred with fabric treated, with (NH4)2S04 while there was no change in the % exhaustion of nylon that was not modified. We gave reason for the profile to be due to hydrolysis. Treatment of the fabric with a condensing agent, dicyandiamide also showed that washing fastness of the treated fabric is higher than that of the untreated fabric.Item Results of ω-order reversing partial contraction mapping generating a differential operator(Malaya Journal of Matematik, 2021) Akinyele, A.Y.; Abubakar, Jos U.; Bello, K.A.; Alhassan, I.K.; Aasa, M.A.In this paper, we presents some partial differential operators defined on suitably chosen function spaces such as H^{−1}(Ω), L^{p}(Ω), with p∈[1,+∞). Laplace operator on a domain Ω in R^{n} subject to the Dirichlet boundary condition was established by generating a C_0-semigroup, which is generated by an infinitesimal generator ω-order reversing partial contraction (ω-ORCP_n).