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An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms

dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.contributor.author Javeed, Shumaila
dc.contributor.author Shabnum, Assiya
dc.contributor.author Baleanu, Dumitru
dc.contributor.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2020-02-28T12:18:15Z
dc.date.available 2020-02-28T12:18:15Z
dc.date.issued 2019
dc.department Çankaya University en_US
dc.department-temp [Javeed, Shumaila; Shabnum, Assiya] COMSATS Univ, Dept Math, Islamabad, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
dc.description.abstract This paper introduces the better algorithms to obtain refined initial guesses with shooting method for solving boundary value problems (BVPs). Each boundary value problem (BVP) is reformulated as a system of equations i.e. initial value problems (IVPs) with one unknown initial conditions. Afterwards, the system of equations is solved using newly developed shooting method [2]. This article proposes efficient initial guess algorithms rather than conventional Newton method to approach the adjoint terminal conditions rapidly. We enhanced the efficiency and accuracy of shooting method by first improving our initial guess and then solving the problem iteratively. The suggested technique is applied to solve different nonlinear higher order boundary value problems. The results indicate that the proposed method is more efficient and accurate as compared to build-in-functions which is being used in MATLAB. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.citation Javeed, Shumaila; Shabnum, Assiya; Baleanu, Dumitru, "An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms", Punjab University Journal of Mathematics, Vol. 51, No. 11, pp. 101-113, (2019). en_US
dc.identifier.endpage 113 en_US
dc.identifier.issn 1016-2526
dc.identifier.issue 11 en_US
dc.identifier.scopusquality N/A
dc.identifier.startpage 101 en_US
dc.identifier.volume 51 en_US
dc.identifier.wos WOS:000496962600008
dc.identifier.wosquality N/A
dc.institutionauthor Baleanu, Dumitru
dc.language.iso en en_US
dc.publisher Univ Punjab, dept Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.title An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms tr_TR
dc.title An Improved Shooting Technique for Solving Boundary Value Problems Using Higher Order Initial Approximation Algorithms en_US
dc.type Article en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery f4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isOrgUnitOfPublication 26a93bcf-09b3-4631-937a-fe838199f6a5
relation.isOrgUnitOfPublication.latestForDiscovery 26a93bcf-09b3-4631-937a-fe838199f6a5

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