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장봉수

Jang, Bongsoo
Computational Mathematical Science Lab.
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dc.citation.number 1 -
dc.citation.startPage 193 -
dc.citation.title ADVANCES IN DIFFERENCE EQUATIONS -
dc.citation.volume 2021 -
dc.contributor.author Kim, Hyunju -
dc.contributor.author Lee, Junseo -
dc.contributor.author Jang, Bongsoo -
dc.date.accessioned 2023-12-21T16:07:45Z -
dc.date.available 2023-12-21T16:07:45Z -
dc.date.created 2021-04-02 -
dc.date.issued 2021-04 -
dc.description.abstract This article proposes new strategies for solving two-point Fractional order Nonlinear Boundary Value Problems (FNBVPs) with Robin Boundary Conditions (RBCs). In the new numerical schemes, a two-point FNBVP is transformed into a system of Fractional order Initial Value Problems (FIVPs) with unknown Initial Conditions (ICs). To approximate ICs in the system of FIVPs, we develop nonlinear shooting methods based on Newton's method and Halley's method using the RBC at the right end point. To deal with FIVPs in a system, we mainly employ High-order Predictor-Corrector Methods (HPCMs) with linear interpolation and quadratic interpolation (Nguyen and Jang in Fract. Calc. Appl. Anal. 20(2):447-476, 2017) into Volterra integral equations which are equivalent to FIVPs. The advantage of the proposed schemes with HPCMs is that even though they are designed for solving two-point FNBVPs, they can handle both linear and nonlinear two-point Fractional order Boundary Value Problems (FBVPs) with RBCs and have uniform convergence rates of HPCMs, O(h(2)) and O(h(3)) for shooting techniques with Newton's method and Halley's method, respectively. A variety of numerical examples are demonstrated to confirm the effectiveness and performance of the proposed schemes. Also we compare the accuracy and performance of our schemes with another method. -
dc.identifier.bibliographicCitation ADVANCES IN DIFFERENCE EQUATIONS, v.2021, no.1, pp.193 -
dc.identifier.doi 10.1186/s13662-021-03355-3 -
dc.identifier.issn 1687-1839 -
dc.identifier.scopusid 2-s2.0-85103824725 -
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/52652 -
dc.identifier.url https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03355-3 -
dc.identifier.wosid 000636466400002 -
dc.language 영어 -
dc.publisher SPRINGER -
dc.title An efficient numerical approach for solving two-point fractional order nonlinear boundary value problems with Robin boundary conditions -
dc.type Article -
dc.description.isOpenAccess TRUE -
dc.relation.journalWebOfScienceCategory Mathematics, Applied; Mathematics -
dc.relation.journalResearchArea Mathematics -
dc.type.docType Article -
dc.description.journalRegisteredClass scie -
dc.description.journalRegisteredClass scopus -
dc.subject.keywordAuthor Caputo fractional derivative -
dc.subject.keywordAuthor Nonlinear shooting method -
dc.subject.keywordAuthor Predictor-corrector scheme -
dc.subject.keywordAuthor Robin boundary condition -

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