Article

To construct basis functions in W2(1,0) space to finite element method for 1D two-point boundary-value problems

Samandar BabaevBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanJavlon DavronovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanJakhongir MirzakulovGulchekhra MirzaevaBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanNilufar AmonovaBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

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.

Topics

Numerical methods in engineering Advanced Numerical Methods in Computational Mathematics Electromagnetic Simulation and Numerical Methods

Identifiers

DOI: 10.1063/5.0199590

Citations and references

Cited by 1 26 references

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