The Taylor Series Method and Trapezoidal Rule on Time Scales

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Date

2020

Authors

Georgiev, Svetlin G.
Erhan, İnci
Erhan, Inci M.

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Elsevier Science inc

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed. (c) 2020 Elsevier Inc. All rights reserved.

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ERHAN, INCI M./0000-0001-6042-3695
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ERHAN, INCI M. ORCID logo

Keywords

Time scale, Delta derivative, Taylor series method, Trapezoidal rule, Dynamic equation

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7

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378

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https://doi.org/10.1016/j.amc.2020.125200
 https://hdl.handle.net/20.500.14411/3064

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