/* Last updated: December 19, 2020 by Hereman in Boulder */ /* For use with symmgrp2020.max under Maxima */ /* File name: Fokker-Planck-Kolmogorov-run1-Dec19-2020-wh.dat. */ /* Data file for the Fokker-Planck-Kolmogorov equation with varying coefficient given in the online manuscript Faruk Gungor. */ /* u_t - u_xx + pp(x) u_y = 0 */ /* Assign u[1] to u, x[1] to x, x[2] to y, and x[3] to t, pp is a function of x only. */ /* number of independent variables: */ p : 3$ /* number of dependent variables: */ q : 1$ /* number of equations in the system: */ m : 1$ warnings: false$ parameters : []$ sublisteqs : [all]$ subst_deriv_of_vi: true$ highest_derivatives : all$ /* information is give in this run. */ info_given : true$ /* careful the symbol p is reserved for the number of independent variables. So, use pp instead. */ depends(pp,x[1]); depends([eta1,f1,f2],[x[1],x[2],x[3]]); depends([eta2,eta3],[x[2],x[3]]); phi1 : f1*u[1]+f2; e1 : u[1,[0,0,1]] - u[1,[2,0,0]] + pp*u[1,[0,1,0]]; /* pp is function of x only */ v1 : u[1,[0,0,1]]; /* end of data file Fokker-Planck-Kolmogorov-run1-Dec19-2020-wh.dat. */