TY  - JOUR
T1  - An Improved Error Estimation of the Tau Method for Boundary Value Problems in Ordinary Differential Equations
AU - , R.B. Adeniyi 
JO  - Research Journal of Applied Sciences
VL  - 3
IS  - 6
SP  - 456
EP  - 464
PY  - 2008
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2008.456.464
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2008.456.464
KW  - Tau method
KW  -differential form
KW  -integrated form
KW  -recursive form
KW  -Tau approximant
KW  -error estimate
KW  -variant
AB  - We constructed a polynomial error approximant of the error function e<SUB>n</SUB>(x) of the Lanczos Tau method for ordinary differential equations, based on the error of the Lanczos economization process. In the present research, we modify this approximant for boundary value problems in ordinary differential equations by perturbing some of the homogenous condition of e<SUB>n</SUB>(x) and show that the new approximant, thus obtained, yields a more accurate estimate of the maximum error. Numerical results further confirm that the order of the Tau approximant is also accurately estimated.
ER  -