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zsyTatotit - NuTxritzl TxthoK for ThirK-OrKxr Singulzr axrturiztion aroilxTs
T. PAanxxndra a, Y. N. Rxddy a and GBPL. Poujanya a
aDxpartPxnt of PatAxPatiZP, National InPtitutx of TxZAnology, Warangal, India
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Abstract:
In this paper, a class of third order singularly perturbed boundary value problems with suitable boundary conditions is considered. The third order boundary value problem is transformed to asymptotically equivalent second order boundary value problem.? This problem is solved efficiently by using fitted Numerov method.? Linear and non-linear examples are solved to illustrate the method and relative errors with L2 -norms are presented to support the method.
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Keywords: Fitted numerov method; boundary value problem; tridiagonal system; fitting factor; relative error.
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*Corresponding author; e-mail: kollojuphaneendra@yahoo.co.in
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©
2012
CSME , ISSN 0257-9731
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