Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Science and Business Media Deutschland GmbH
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
Probabilistic evolution theory provides a promising method for the solution of ordinary differential equations with multinomial right hand side functions. In this work, the solution by probabilistic evolution theory is implemented in C++ programming language. A novel algorithm for concurrent computation of the coefficients of the series expansion is designed and implemented. Using the program, approximate solutions for different ordinary differential equations are obtained and the results are compared to results of certain prominent methods for numerical solution of ordinary differential equations. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023.
Description
Keywords
34A34, 65L05, Binary semaphore, Concurrent computing, Condensed Kronecker product, Exact arithmetic, Ordinary differential equations, Probabilistic evolution theory, Quadratization
Journal or Series
Journal of Mathematical Chemistry
WoS Q Value
Scopus Q Value
Q2
Volume
62
Issue
3
