Crank-Nicolson, finite difference method, time fracional-order Black-Scholes model, numerical simulation, multi-dimensional models

Autor: Chunli Li, Wenchang Chu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 17234-17258 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024837?viewType=HTML
Popis: Three classes of infinite series containing binomial coefficient $ \binom{3n}{n} $, harmonic-like numbers, and an independent variable "$ y $" are examined. Several algebraic formulae in closed form are established, including, as special cases, three conjectured values for numerical series by Z.-W. Sun. This is fulfilled by integrating Lambert's series and manipulating the cubic transformations for the $ _3{F_2} $-series through the "coefficient extraction" method.
Databáze: Directory of Open Access Journals