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NuTxritzl Solution of Fifth OrKxr iounKzry Vzlux aroilxTs iy tollotztion TxthoK with Sixth OrKxr i-Salinxs
T.N.P. TaPi ViPwanadAaP a, P. Purali TriPAna a and Z. PrabAaTara Rao b
aDxpartPxnt of PatAxPatiZP National InPtitutx of TxZAnology, Warangal – 506 004, India
bDxpartPxnt of PatAxPatiZP, VaPavi Zollxgx of xnginxxring, Aydxrbad, India
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Abstract:
Collocation method with sixth degree B-splines as basis functions has been developed to solve a fifth order special case boundary value problem. To get an accurate solution by the collocation method with sixth degree B-splines, the original sixth degree B-splines are redefined into a new set of basis functions which in number match with the number of collocation points. The method is tested for solving both linear and nonlinear boundary value problems. The proposed method is giving better results when compared with the methods available in literature.
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Keywords: Collocation method; sixth degree B-spline; basis function; fifth order boundary value problem; collocation point; absolute error.
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*Corresponding author; e-mail: kasi_nitw@yahoo.co.in
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©
2010
CSME , ISSN 0257-9731
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