Abstract
Addition is the most fundamental operation in mathematics and sciences. Summation of a sequence of numbers is a common task in mathematical related calculations and problem solving. Sumudu Transform was only introduced recently but has many nice properties for solving problems in computational science. In this work, the authors shall explore Sumudu Transform in computational approach which serves as foundation to various interesting and useful applications; we shall show that Sumudu Transform is a powerful tool to calculate the summations for both sequences of finite numbers and infinite numbers. Furthermore, the algorithms presented here can be implemented in algebra systems such as Maple to calculate the summations automatically.
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Zhang, J., Shen, F. (2020). Sumudu Transform for Automatic Summations. In: Latifi, S. (eds) 17th International Conference on Information Technology–New Generations (ITNG 2020). Advances in Intelligent Systems and Computing, vol 1134. Springer, Cham. https://doi.org/10.1007/978-3-030-43020-7_37
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DOI: https://doi.org/10.1007/978-3-030-43020-7_37
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