A distinctive Sumudu treatment of trigonometric functions

作     者：Belgacem, Fethi Bin Muhammad Silambarasan, Rathinavel 

作者机构：PAAET Fac Basic Educ Dept Math Al Ardhiya Kuwait VIT Univ SITE M Tech IT Networking Vellore Tamil Nadu India 

出 版 物：《JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS》 (计算与应用数学杂志)

年 卷 期：2017年第312卷

页      面：74-81页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Kuwait Public Authority for Applied Education and Training Research Department  (BE-13-09) 

主　　题：Sumudu transform Laplace transform Trigonometric functions 

摘      要：The Sumudu transform integral equation is solved by continuous integration by parts, to obtain its definition for trigonometric functions. The transform variable, u, is included as a factor in the argument of f (t), and summing the integrated coefficients evaluated at zero yields the image of trigonometric functions. The obtained result is inverted to show the expansion of trigonometric functions as an infinite series. Maple graphs, tables of extended Sumudu properties, and infinite series expansions of trigonometric functions Sumudi images are given. (C) 2016 Elsevier B.V. All rights reserved.