The Taylor Series Method and Trapezoidal Rule on Time Scales
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
Green Open Access
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Top 10%
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Average
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Top 10%
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.
Description
ERHAN, INCI M./0000-0001-6042-3695
ORCID
Keywords
Time scale, Delta derivative, Taylor series method, Trapezoidal rule, Dynamic equation, Dynamic equations on time scales or measure chains, trapezoidal rule, time scale, Taylor series method, Numerical methods for initial value problems involving ordinary differential equations, delta derivative, dynamic equation
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
11
Source
Applied Mathematics and Computation
Volume
378
Issue
Start Page
125200
End Page
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Citations
CrossRef : 11
Scopus : 20
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Mendeley Readers : 6
SCOPUS™ Citations
20
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Web of Science™ Citations
11
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1
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