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

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dc.contributor.author Javeed, Shumaila
dc.contributor.author Shabnum, Assiya
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-02-28T12:18:15Z
dc.date.available 2020-02-28T12:18:15Z
dc.date.issued 2019
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). tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/2561
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Univ Punjab, Dept Mathematics tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Iterative Methods tr_TR
dc.title An improved shooting technique for solving boundary value problems using higher order initial approximation algorithms tr_TR
dc.type article tr_TR
dc.relation.journal Punjab University Journal of Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 51 tr_TR
dc.identifier.issue 11 tr_TR
dc.identifier.startpage 101 tr_TR
dc.identifier.endpage 113 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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