Abstract
This paper presents a generalized method for the summation of multi-ordered geometric series that is used for the application of computational science. Computational science is a rapidly growing interdisciplinary area where science, computation, mathematics, and its collaboration use advanced computing capabilities for understanding and solving the most complex real-life problems. Also, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. For this purpose, a new generalized method for the computation of multi-ordered geometric series is introduced in this article.