{"title":"q-Modified Differential Transform Method","authors":"F. Hıra","doi":"10.1134/s0965542524700428","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The modified or hybrid method is created by combining the differential transform method (DTM), Padé approximant, and Laplace transform. This method has been used frequently in many fields, especially in solving problems created by nonlinear equations. In this study, we examined the <span>\\(q\\)</span>-analog of this method. We define the method as the <span>\\(q\\)</span>-modified differential transformation method (<span>\\(q\\)</span>-MDTM). By creating <span>\\(q\\)</span>-analogs of some problems solved by Laplace transform and DTM in the literature, we are solving them with <span>\\(q\\)</span>-MDTM. In this sense, the study is an example of creating nonlinear <span>\\(q\\)</span>-differential equations and solving them by applying the <span>\\(q\\)</span>-modified method.</p>","PeriodicalId":55230,"journal":{"name":"Computational Mathematics and Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Mathematics and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0965542524700428","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The modified or hybrid method is created by combining the differential transform method (DTM), Padé approximant, and Laplace transform. This method has been used frequently in many fields, especially in solving problems created by nonlinear equations. In this study, we examined the \(q\)-analog of this method. We define the method as the \(q\)-modified differential transformation method (\(q\)-MDTM). By creating \(q\)-analogs of some problems solved by Laplace transform and DTM in the literature, we are solving them with \(q\)-MDTM. In this sense, the study is an example of creating nonlinear \(q\)-differential equations and solving them by applying the \(q\)-modified method.
期刊介绍：
Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.
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