Share This Article:

A Tutorial to Approximately Invert the Sumudu Transform

Full-Text HTML XML Download Download as PDF (Size:1611KB) PP. 1004-1028
DOI: 10.4236/am.2019.1011070    218 Downloads   520 Views


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.

Cite this paper

Atlas, G. , Li, J. and Work, A. (2019) A Tutorial to Approximately Invert the Sumudu Transform. Applied Mathematics, 10, 1004-1028. doi: 10.4236/am.2019.1011070.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.