{"title":"Closed-form expressions for some of the integrals related to the method of Kobayashi potential","authors":"B. Honarbakhsh","doi":"10.1016/j.amc.2024.128970","DOIUrl":null,"url":null,"abstract":"<div><p>Closed-form solutions are derived for some improper integrals used in the Kobayashi Potential (KP) method, using the calculus of residues. These integrals are categorized as waveguiding and radiating, which are single-valued and double-valued, respectively. Both classifications are considered for interior and exterior regions, with respect to the discontinuous boundary. Fourier functional space is used to facilitate contour integration for interior problems. It has been demonstrated that radiating integrals are a limiting case of waveguiding integrals. Therefore, the same strategy can be applied to both types of integrals.</p></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"482 ","pages":"Article 128970"},"PeriodicalIF":3.4000,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324004314","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/7/25 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Closed-form solutions are derived for some improper integrals used in the Kobayashi Potential (KP) method, using the calculus of residues. These integrals are categorized as waveguiding and radiating, which are single-valued and double-valued, respectively. Both classifications are considered for interior and exterior regions, with respect to the discontinuous boundary. Fourier functional space is used to facilitate contour integration for interior problems. It has been demonstrated that radiating integrals are a limiting case of waveguiding integrals. Therefore, the same strategy can be applied to both types of integrals.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
