Adams-Bashforth methods on bigeometric calculus

Abstract

In this study, bigeometric Adams-Bashforth methods were defined as a strong alternative to classical numerical methods. After methods were established theoretically, error estimation formulas for each method were developed. Finally, a classical differential equation was converted to a bigeometric multiplicative differential equation, and it was solved by using bigeometric AdamsBashforth methods. Then, error estimations were given.