贝塞尔函数的SEJI积分变换

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1614

Sadiq A. Mehdi, Emad A. Kuffi, Jinan A. Jasim

{"title":"贝塞尔函数的SEJI积分变换","authors":"Sadiq A. Mehdi, Emad A. Kuffi, Jinan A. Jasim","doi":"10.47974/jim-1614","DOIUrl":null,"url":null,"abstract":"Bessel’s functions have great mathematical importance in solving differential equations, especially in the applied field. There is a lot of research that review some applied equations and their solutions using these functions. Since integral transforms have high efficiency in finding accurate solutions to distinct kinds of differential and integral equations, we use in this paper the proposed method “SEJI integral transform” for functions of Bessel. These certain applications have been taken for these functions and solved by SEJI integral transform that reached to the exact solutions. In addition, some characteristics of this transformation were introduced that helped in arriving at accurate solutions.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SEJI integral transform of Bessel’s functions \",\"authors\":\"Sadiq A. Mehdi, Emad A. Kuffi, Jinan A. Jasim\",\"doi\":\"10.47974/jim-1614\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Bessel’s functions have great mathematical importance in solving differential equations, especially in the applied field. There is a lot of research that review some applied equations and their solutions using these functions. Since integral transforms have high efficiency in finding accurate solutions to distinct kinds of differential and integral equations, we use in this paper the proposed method “SEJI integral transform” for functions of Bessel. These certain applications have been taken for these functions and solved by SEJI integral transform that reached to the exact solutions. In addition, some characteristics of this transformation were introduced that helped in arriving at accurate solutions.\",\"PeriodicalId\":46278,\"journal\":{\"name\":\"JOURNAL OF INTERDISCIPLINARY MATHEMATICS\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF INTERDISCIPLINARY MATHEMATICS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47974/jim-1614\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47974/jim-1614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

贝塞尔函数在求解微分方程，特别是在应用领域中具有重要的数学意义。有很多研究回顾了一些应用方程及其使用这些函数的解。由于积分变换对不同类型的微分方程和积分方程具有较高的求精确解的效率，本文对贝塞尔函数采用了所提出的“SEJI积分变换”方法。对这些函数进行了一定的应用，并通过SEJI积分变换得到了精确的解。此外，还介绍了这种转换的一些特征，这些特征有助于得出准确的解决方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

SEJI integral transform of Bessel’s functions

Bessel’s functions have great mathematical importance in solving differential equations, especially in the applied field. There is a lot of research that review some applied equations and their solutions using these functions. Since integral transforms have high efficiency in finding accurate solutions to distinct kinds of differential and integral equations, we use in this paper the proposed method “SEJI integral transform” for functions of Bessel. These certain applications have been taken for these functions and solved by SEJI integral transform that reached to the exact solutions. In addition, some characteristics of this transformation were introduced that helped in arriving at accurate solutions.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.