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Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method

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dc.contributor.author Jafarian, Ahmad
dc.contributor.author Nia, Safa Measoomy
dc.contributor.author Golmankhaneh, Alireza K.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-03T22:06:22Z
dc.date.available 2020-04-03T22:06:22Z
dc.date.issued 2013
dc.identifier.citation Jafarian, Ahmad...et al. (2013). "Numerical solution of linear integral equations system using the Bernstein collocation method", Advances In Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2913
dc.description.abstract Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equations. In this paper, an application of the Bernstein polynomials expansion method is applied to solve linear second kind Fredholm and Volterra integral equations systems. This work reduces the integral equations system to a linear system in generalized case such that the solution of the resulting system yields the unknown Bernstein coefficients of the solutions. Illustrative examples are provided to demonstrate the preciseness and effectiveness of the proposed technique. The results are compared with the exact solution by using computer simulations. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer International Publishing AG tr_TR
dc.relation.isversionof 10.1186/1687-1847-2013-123 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject 2nd Kind tr_TR
dc.subject Polynomials tr_TR
dc.title Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method tr_TR
dc.type article tr_TR
dc.relation.journal Advances In Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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