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Quantum solutions of a nonlinear Schrodinger equation (2210.08626v1)
Published 16 Oct 2022 in math.AP
Abstract: 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.
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