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Book Part Divided and A-Divided Differences on Time Scales(De Gruyter, 2023) Jaddoa,N.; Sevinik-Adigüzel,R.; Erhan,I.M.In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using the divided differences table. Examples are presented to illustrate the theoretical results. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.Book Citation - Scopus: 1Numerical Analysis on Time Scales(De Gruyter, 2022) Georgiev,S.G.; Erhan,I.M.Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales. These models must be dealt with using computational methods. This textbook introduces numerical methods for initial value problems for dynamic equations on time scales. Hands-on examples utilizing MATLAB and practical problems illustrate a wide variety of solution techniques. This textbook discusses the design, analysis and applications of computational techniques for dynamic equations on time scales. Hands-on examples utilizing MATLAB are provided as well as end of chapter problems. © 2022 Walter de Gruyter GmbH, Berlin/Boston. All rights reserved.
