Scholarly Publication
Permanent URI for this collection
Browse
Recent Submissions
Now showing 1 - 5 of 148
- ItemNonlinear Solar Thermal Radiation Efficiency and Energy Optimization for Magnetized Hybrid Prandtl–Eyring Nanoliquid in Aircraft(2022) MD. Shamshuddin; S. O. Salawu; A. M. ObalaluA rising demand for industrial expansion, and optimization of energy and cost have stimulated researchers to consider effective usages of solar radiation and nanomaterials. As such, this study focuses on the flow rate, thermal distribution and entropy generation of the magnetized hybrid Prandtl–Eyring nanofluid flow along the interior parabolic solar trough collector of an aircraft wing. A nonlinear solar radiation and Joule heating of the aircraft wings, and the hybridization of cobalt ferrite and copper nanoparticles are considered in an ethylene glycol (EG) base fluid. The transformed nonlinear coupled mathematical model for the hybrid Prandtl–Eyring nanofluid flow in a boundless medium with jump temperature and convective cooling boundary conditions is analytically solved. The flow dimensions and the engineering factors (shear stress and heat gradient) for various thermofluid parameter sensitivities are examined and comprehensively reported. As found, the – nanofluid has high thermal conductivity than the –EG nanofluid. It is revealed that the energy optimization of the system is upsurged by encouraging nanoparticle volume fraction. Hence, the study will benefit the thermal engineering for an advanced nanotechnology and solar aircraft efficiency.
- ItemNumerical Solution of Generalized Delay Integro-Differential Equations via GalerkinVieta-Lucas Polynomials(INTERNATIONAL JOURNAL OF DEVELOPMENT MATHEMATICS, 2024-05-10) Kazeem Issa a; Muritala H. Sulaiman; Esther O. Olabamidele; Ayinde M. Abdullahn this article, the Galerkin-Vieta-Lucas scheme is presented to find an approximate solution to the generalised delay integro-differential equation using the Vieta-Lucas polynomial as an approximation. The Galerkin approach transforms the delay integro-differential equation into a set of n × (n + m) algebraic equations, which, together with the attached conditions, give (n + m) × (n + m) equations. The effectiveness and accuracy of the proposed technique were tested on some existing examples in the literature, and obviously, the results obtained justify the accuracy of the proposed scheme.
- ItemApproximate solution of time-fractional non-linear parabolic equations arising in Mathematical Physics(2024-05-31) Issa, K; Bello, R. A; Sulaiman, M. HIn this paper, we studied and analysed a new iterative method for solving time-fractional non-linear equations by obtaining approximate solutions to the Allen-Cahn, Newell-Whitehead, and Fisher equations by putting the parameter α = 1 and varying the values of γ, ψ, and τ. These three equations were derived from the general non-linear dynamical wave equations when the constants therein assumed certain specific values. Obviously, from the tabulated results, we observed that the approximate solution for each example compares favourably with the existing results in the literature; therefore, the proposed scheme is effective and accurate in solving Allen-Cahn, Newell-Whitehead, and Fisher equations. All the computational work was done using Mathematica, and all the graphs were plotted using MATLAB.
- ItemAnalytical Solution of Generalized Fractional Integro-Di erential Equations via Shifted Gegenbauer Polynomials(MATEMATIKA, MJIAM, Volume 40, Number 3, 113{129 c Penerbit UTM Press. All rights reserved, 2024-12-31) Kazeem Issa; Adebayo Ridwan; Muritala Hambali SulaimanAbstract In this paper, we proposed an analytical solution for generalized fractional order integro-di erential equations with non-local boundary conditions via shifted Gegenbauer polynomials as an approximating polynomial using the Galerkin method and collocation techniques involving operational matrix that make use of the Liouville-Caputo operator of differentiation in combination with Gegenbauer polynomials. Shifted Gegenbauer polynomial properties were exploited to transform fractional order integro-differential equation and its non-local boundary conditions into an algebraic system of equations. Shifted Gegenbauer polynomial C_m^((α) ) (x) was used in order to generate and generalize the results of some other orthogonal polynomials by varying the value of parameter . The accuracy and effctiveness of the proposed method are tested on some selected examples from the literature. We observed that, when the exact solution is in polynomial form, the approximate solution gives a closed form solution, and non-polynomial exact solution, also give better results compared to the existing results in the literature.
- ItemCharacterization of Signed Symmetric Group in Inner Product Spaces(Adamawa State University, 2019) Usamot, IF;; Rauf, K;; Bakare, GN;; Ibrahim, G. RThis paper provides some characterizations of signed symmetric group (SSn) using the notion of orthogonality in inner product spaces. The concepts of ortho-stochastic and reflection were introduced on SSn and results were established with some examples.