A Tutorial to Approximately Invert the Sumudu Transform
A Tutorial to Approximately Invert the Sumudu Transform作者机构：Department of Anesthesiology Rutgers New Jersey Medical School Newark NJ USA Department of Biomedical Engineering Stevens Institute of Technology Hoboken NJ USA Department of Biomedical Engineering Rutgers University Piscataway NJ USA
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2019年第10卷第11期
页 面：1004-1028页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Sumudu Transform Double Series Discrete Convolution Cauchy Product
摘 要：Unlike the traditional Laplace transform, the Sumudu transform of a function, when approximated as a power series, may be readily inverted using factorial-based coefficient diminution. This technique offers straightforward computational advantages for approximate range-limited numerical solutions of certain ordinary, mixed, and partial linear differential and integro-differential equations. Furthermore, discrete convolution (the Cauchy product), may also be utilized to assist in this approximate inversion method of the Sumudu transform. Illustrative examples are provided which elucidate both the applicability and limitations of this method.
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