gegenbauer spectral treatment of the time fractional black-scholes-schrodinger equations

In this paper, we study ‎t‎he time fractional black-scholes-schrodinger(tfbss) equation is a quantum financial model which is used for analyzing fair prices of options in real financial market.‎ we present ‎gegenbauer spectral method for spatial variable and the time fractional derivative of mentioned equation is approximated by a scheme of order ‎‎$‎‎2-‎alpha‎$ ‎for ‎fractional ‎derivation of order ‎‎$‎‎alpha‎‎$‎. ‎the presented method reduces tfbss to a matrix equation‎, ‎which can be solved by the global gmres method‎.‎in this paper, we study ‎t‎he time fractional black-scholes-schrodinger(tfbss) equation is a quantum financial model which is used for analyzing fair prices of options in real financial market.‎ we present ‎gegenbauer spectral method for spatial variable and the time fractional derivative of mentioned equation is approximated by a scheme of order ‎‎$‎‎2-‎alpha‎$ ‎for ‎fractional ‎derivation of order ‎‎$‎‎alpha‎‎$‎. ‎the presented method reduces tfbss to a matrix equation‎, ‎which can be solved by the global gmres method‎