To construct basis functions in W 2 ( 1 , 0 ) space to finite element method for 1D two-point boundary-value problems

This paper uses the Ritz method to find approximate solutions to boundary-value problems for ordinary differential equations. We present the approximate finite element solution by a linear combination of the basis functions. Here we get co-efficients of the optimal interpolation formula in W 2 ( 1 ,...

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Bibliographic Details
Published in:AIP conference proceedings 2024-03, Vol.3004 (1)
Main Authors: Babaev, Samandar, Davronov, Javlon, Mirzakulov, Jakhongir, Mirzaeva, Gulchekhra, Amonova, Nilufar
Format: Article
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Summary:This paper uses the Ritz method to find approximate solutions to boundary-value problems for ordinary differential equations. We present the approximate finite element solution by a linear combination of the basis functions. Here we get co-efficients of the optimal interpolation formula in W 2 ( 1 , 0 ) space as basis functions. The difference obtained in numerical results and exact solutions illustrates graphically.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0199590