@article{MAKHILLRJAS2008368950,
    title = {An Improved Error Estimation of the Tau Method for Boundary Value Problems in Ordinary Differential Equations},
    journal = {Research Journal of Applied Sciences},
    volume = {3},
    number = {6},
    pages = {456-464},
    year = {2008},
    issn = {1815-932x},
    doi = {rjasci.2008.456.464},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2008.456.464},
    author = {R.B. Adeniyi},
    keywords = {Tau method,differential form,integrated form,recursive form,Tau approximant,error estimate,variant},
    abstract = {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.}
    }