DSpace Repository

On the accurate discretization of a highly nonlinear boundary value problem

Show simple item record

dc.contributor.author Hajipour, Mojtaba
dc.contributor.author Jajarmi, Amin
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-23T07:30:27Z
dc.date.available 2020-03-23T07:30:27Z
dc.date.issued 2018-11
dc.identifier.citation Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru, "On the accurate discretization of a highly nonlinear boundary value problem", Numerical Algorithms, Vol. 79, No.3, pp. 679-695, (2018). tr_TR
dc.identifier.issn 1017-1398
dc.identifier.uri http://hdl.handle.net/20.500.12416/2709
dc.description.abstract The aim of this manuscript is to investigate an accurate discretization method to solve the one-, two-, and three-dimensional highly nonlinear Bratu-type problems. By discretization of the nonlinear equation via a fourth-order nonstandard compact finite difference formula, the considered problem is reduced to the solution of a highly nonlinear algebraic system. To solve the derived nonlinear system, a modified nonlinear solver is used. The new scheme is accurate, fast, straightforward and very effective to find the lower and upper branches of the Bratu's problem. Numerical simulations and comparative results for the one-, two-, and three-dimensional cases verify that the new technique is easy to implement and more accurate than the other existing methods in the literature. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer tr_TR
dc.relation.isversionof 10.1007/s11075-017-0455-1 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Bratu's Problem tr_TR
dc.subject Nonstandard Compact Finite Difference Scheme tr_TR
dc.subject Iterative Method tr_TR
dc.title On the accurate discretization of a highly nonlinear boundary value problem tr_TR
dc.type article tr_TR
dc.relation.journal Numerical Algorithms tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 79 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 679 tr_TR
dc.identifier.endpage 695 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record