2022/10/16 by Sabrine Arfaoui, Arfaoui, Sabrine
Computer Science · Mathematics · #Numerical Methods and Algorithms #Mathematical and Theoretical Analysis #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2210.08626
In the present paper, we precisely conduct a q-calculus method for the numerical solutions of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical discretization methods we consider subdomains according to q-calculus, and provide an approximate solution due to a specific value of the parameter q. Error estimates show that q-calculus may produce efficient numerical solutions for PDEs.