Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic

Gözükırmızı C.2024-03-132024-03-1320240259-9791https://doi.org/10.1007/s10910-023-01563-8https://hdl.handle.net/20.500.12662/3010Probabilistic 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.eninfo:eu-repo/semantics/closedAccess34A3465L05Binary semaphoreConcurrent computingCondensed Kronecker productExact arithmeticOrdinary differential equationsProbabilistic evolution theoryQuadratizationPure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmeticArticle10.1007/s10910-023-01563-82-s2.0-851808259056803Q265462