Browsing by Author "Yisa, Babatunde Morufu"
Now showing 1 - 8 of 8
Results Per Page
Sort Options
Item Analytical Approximate Solution of Nonlinear Initial Value Problems by Variational Iteration Method and Adomian Decomposition Method(Federal University of Technology, Minna, Nigeria., 2018-06-01) Yisa, Babatunde MorufuIn this paper, variational iteration method and Adomian decomposity methodare applied to certain initial value problems with varied nonlinearities. The two methods are equally applied to linear problems just to demonstrate their effectiveness in handling such category of problems too. The two methods give identical results which closely estimate the exact solution whenever such exists, in all cases, for both linear and nonlinear problems.Item Comparative Analysis of the Numerical Effectiveness of the Four Kinds of Chebyshev Polynomials(Nigerian Association of Mathematical Physics, 2015-11-01) Yisa, Babatunde MorufuIn this paper, four kinds of Chebyshev polynomials are studied with the aim of identifying which of them gives more reliable results. It was eventually discovered, based on numerical results, that the first and fourth kinds perform better than the second and third kinds. While further comparison revealed that the second kind did better than the third kind.Item Modified Results in Adaptive Quadrature Method for the Approximations of Integrals(Federal University, Lokoja, 2017-11-01) Yisa, Babatunde Morufu; Ahmed, Bayo MusaThis paper investigates the role of higher order Newton – Cotes closed quadrature formula in the adaptive quadrature method for approximating integrals. Boole’s rule was specifically adopted as a result of its exceptional accuracy, and this was brought to bear in the numerical experiments that followed the derivation of error estimation scheme. The error estimate scheme facilitates the suitability of the method reported in this paper for situations where exact solution is extremely difficult to arrive at.Item Numerical Performances of Two Orthogonal Polynomials in the Tau Method for Solutions of Ordinary Differential Equations(Nigerian Association of Mathematical Physics, 2015-05-01) Yisa, Babatunde MorufuIn this work, efforts are made at comparing the numerical effectiveness of two most accurate orthogonal polynomials; Chebyshev and Legendre polynomials. Although the two have different weight functions, but they most time give close results especially when they are considered in the same interval. This work has therefore used the two polynomials, withing the same interval, as bases functions in the Ortiz’s Recursive Formulation of Lanczos’s Tau method. Numerical experiments show that the two are very accurate.Item Numerical Solutions of Fredholm Integral Equations of the Second Kind Using Certain Quadratures(Federal University of Technology, Minna, Nigeria., 2016-12-01) Yisa, Babatunde Morufu; Aderinto, Yidiat O.In this paper, nonhomogeneous Fredholm integral equations of the second kind are approximated using Boole’s and Weddle’s rules. The kernels of the family of integral equations are approximated by the two quadrature formulae due to their accuracy. In most of the problems solved, the two quadratures give exact solutions, but where the exact solution is not obtained, the numerical approximation realized are very reasonable.Item On the Variants of the Tau Methods for Solutions of IVPs in Systems of First Order Differential Equations(Kwara State Mathematical Association of Nigeria, 2010-03-01) Yisa, Babatunde Morufu; Adeniyi, Raphael BabatundeThis paper is concerned with two variants of a numerical integration scheme, namely, the tau method for systems of first order ordinary differential equations. The error estimation of the two variants are obtained and numerical results confirm the accuracy and effectiveness of the scheme.Item Relative in Numerical Performance of Certain Polynomials in Tau Method(Federal University of Technology, Minna, Nigeria., 2015-12-01) Yisa, Babatunde MorufuThis paper examines the order of numerical usefulness of the four kinds of Chebyshev polynomials, especially in the differential formulation of the Lanczos’ Tau method. Their practical applications on selected numerical problems, which are constant and variable coefficients, homogeneous and nonhomogeneous problems of varied orders, showed correlation between the accuracy first and fourth kinds. The second kind was next in performance, while the third kind performed least.Item Solution of Ordinary Differential Equations with Special Nonlinearities by Adomian Decomposition Method(Federal University of Technology, Minna, Journal of Science, Technology, Mathematics and Education (JOSTMED), 2019-09-01) Yisa, Babatunde MorufuIn this paper, the generation of Adomian polynomials for certain supposedly difficult nonlinearities and their implementation in standard Adomian decomposition method is reported. The steps involved in the whole process are well elucidated, and the numerical results obtained confirm the accuracy of the method.