I am trying to use the solve_ivp built-in function with the Jacobian matrix. I get this error message: UserWarning: The following arguments have no effect for a chosen solver: jac. .format(", ".join("{}".format(x) for x in extraneous))) I am unsure if it is a syntax error or an error in the Jacobian matrix. Some of my code def MyIntFun(t,y): return DivWatFlux(y,t,wPar, sPar, RPar,dzIN, dzN) def jacfunc(t,y): jac = Richardsmatrix(y, t, wPar, sPar, RPar, dzIN, dzN) return jac mt.tic() hwODE = spi.solve_ivp(MyIntFun, [tout[0], tout[-1]], hw0, method='RK45', vectorized=True,rtol=1e-4, jac=jacfunc) mt.toc() This is the code for the Jacobian: def Richardsmatrix(hw, t, wPar, sPar, RPar, dzIN, dzN): #the jacobian (a,b,c) K=Kfun(hw, wPar, m) kRes =RPar.kRobBotR a = np.zeros(nN) b = np.zeros(nN) c = np.zeros(nN) ii=np.arange(1, nN-1) a[ii] = K[ii, 0]/(dzIN[ii, 0]*dzN[ii-1, 0]) #middle nodes a[0] = 0 #a1l is zero and not in matrix a[nN-1] = K[nN-1, 0] / (dzIN[nN-1, 0] * dzN[nN-2, 0]) b[ii] = -K[ii, 0] / (dzIN[ii,0] * dzN[ii-1,0])- K[ii+1,0] / (dzIN[ii,0] * dzN[ii, 0]) #middle nodes b[0] = -K[1, 0]/(dzIN[0 , 0]*dzN[0, 0])- kRes / dzIN[0 ,0] b[nN-1] = -K[nN-1, 0] / (dzIN[nN-1, 0] * dzN[nN-2, 0]) c[ii] = K[ii+1,0] / (dzIN[ii,0] * dzN[ii, 0]) #middle nodes c[0] = K[1,0] / (dzIN[0, 0] * dzN[0, 0]) c[nN-1] = 0 B = np.diag(a[1:nN], -1)+ np.diag(b, 0) + np.diag(c[0:nN-1], 1) sB = sp.sparse.csc_matrix(B) return My group and I are pretty new at programming, so any help is greatly appreciated! Continue reading...