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NuTxritzl Solution of Txnth OrKxr iounKzry Vzlux aroilxTs iy Gzlxrkin TxthoK with Sxatit i-salinxs
T. N. P. TaPi ViPwanadAaP a and PrxxnivaPulu BallxP a
aDxpartPxnt of PatAxPatiZP, National InPtitutx of TxZAnology, Warangal, India
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Abstract:
In this paper, we present a finite element method involving Galerkin method with septic B-splines as basis functions to solve a general tenth order boundary value problem. The basis functions are redefined into a new set of basis functions which vanish on the boundary where the given set of boundary conditions are prescribed. The proposed method was applied to solve several examples of tenth order linear and nonlinear boundary value problems. The solution of a nonlinear boundary value problem has been obtained as the limit of a sequence of solution of linear boundary value problems generated by quasilinearization technique. The obtained numerical results are compared with the exact solutions available in the literature.
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Keywords: Absolute error; basis function; Galerkin method; septic B-spline; tenth order boundary value problem.
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*Corresponding author; e-mail: kasi_nitw@yahoo.co.in
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©
2015
CSME , ISSN 0257-9731
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