Shooting-projection method for two-point boundary value problems

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creativework.keywordsH1 semi-norm, Shooting-projection method, Two-point boundary value problem
creativework.publisherElsevier Ltden
dc.contributor.authorFilipov S.M.
dc.contributor.authorGospodinov I.D.
dc.contributor.authorFaragó I.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:48:37Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:48:37Z
dc.date.issued2017-10-01
dc.description.abstractThis paper presents a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations. The method works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula to correct the initial condition; the process is repeated until the second boundary condition is satisfied. The iteration formula is derived utilizing an auxiliary function that satisfies both boundary conditions and minimizes the H1 semi-norm of the difference between itself and the initial value problem solution.
dc.identifier.doi10.1016/j.aml.2017.04.002
dc.identifier.issn1873-5452
dc.identifier.issn0893-9659
dc.identifier.scopusSCOPUS_ID:85018474005en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/428
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018474005&origin=inward
dc.titleShooting-projection method for two-point boundary value problems
dc.typeArticle
oaire.citation.volume72
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