Analysis of Random Difference Equations Using the Differential Transformation Method
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Scopus EXPORT DATE: 23 October 2024 @ARTICLE{Şişman2024, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85205880884&doi=10.1155%2f2024%2f2424880&partnerID=40&md5=56ed20976dffa2a350e757e96e9559cc}, affiliations = {Department of Mathematical Engineering, Faculty of Engineering and Natural Science, Gümüşhane University, Gümüşhane, Turkey}, correspondence_address = {M. Merdan; Department of Mathematical Engineering, Faculty of Engineering and Natural Science, Gümüşhane University, Gümüşhane, Turkey; email: mmerdan@gumushane.edu.tr}, publisher = {Hindawi Limited}, issn = {1110757X}, language = {English}, abbrev_source_title = {J. Appl. Math.} }Abstract
The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the given examples and investigate the behaviour of the approximate analytical solutions. The expected value, variance, coefficient of variation, and confidence intervals of the solutions of random difference equations obtained from discrete probability distributions such as uniform, geometric, Poisson, and binomial distributions will be calculated. Maple and MATLAB software packages are used to plot the solution graphs and also to interpret the solution behaviour. © 2024 Şeyma Şişman and Mehmet Merdan.
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https://www.scopus.com/record/display.uri?eid=2-s2.0-85205880884&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=32fe864637abbbb34fbe14f425fb95d4https://hdl.handle.net/20.500.12440/6333
