Scientific Research and Studies Vol. 5(1), pp. 15-20,
Copyright © 2018
Author(s) retain the
copyright of this article
Full Length Research Paper
of the differential Tau Method for certain fourth order boundary
Yahaya Ajiya1*, Adamu Wakili2, Aliyu M. Awwal1,
Aliyu Abubakar1 and Aminu Audu1
Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria.
2Department of Mathematical Sciences, Faculty of Science, Federal
University Lokoja, Kogi, Nigeria.
*Corresponding author. E-mail:
Accepted 31 December, 2017
In this paper, a generalized differential formulation of the
Lanczos Tau Method and constructed polynomial error approximant
of the error function for certain fourth order boundary value
problems with first degree over-determination in ordinary
differential equations were investigated; it is based on a
modification of the error of Lanczos economization process. For
this purpose, an algebraic linear system of equations was
obtained by equating the corresponding coefficients of various
powers of independent variable, in which these were solved to
obtain the unknown constants. For the error estimation, two
forms of homogeneous conditions of the error function were
considered. Numerical experiments were given to illustrate the
effectiveness of the method.
Key words: Chebyshev polynomial, differential operator,
differential systems, error function, over-determination, Tau
approximant, Tau parameter.
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