Browsing by Author "K. ISSA"

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    An error estimation of a numerical scheme analogue to the tau method for initial value problems in ordinary differential equations
    (2014-03) K. ISSA; A. K. JIMOH
    In a recent paper, we constructed three classes of orthogonal polynomials for use in the perturbation term of a numerical integration scheme analogues to the tau method of Lanczos and Ortiz for ordinary differential equations. The resulting n-th degree approximant y_n(x) of the solution y(x) of the differential equation was accurate and hence justified the scheme. In this present paper, we report an error estimation of the method based on our earlier work. The estimate obtained is good as it correctly captured the order of the tau approximant.
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    GENERALIZED ERROR ESTIMATION OF THE TAU METHOD IN ORDINARY DIFFERENTIAL EQUATIONS
    (Nigerian Society of Physical Sciences, 2017-01-10) K. ISSA; R. B. ADENIYI; B. M. YISA
    The numerical method for solving Non-linear ODEs is reported here based on the generalized Tau approximant earlier derived. The error estimation of the Tau method for both linear and non-linear ODEs, overdetermined and non overdetermined type were also examined and generalized with the use of chebyshev polynomials as perturbation terms. Some numerical problems were solved to illustrate the effectiveness and simplicity of the generalized scheme.