We suggested a joint algorithm for opportunistic spectrum and time sharing in cognitive radio (CR) wireless mesh networks (WMNs) in this paper. The problem was formulated using linear programming and solved by the simplex-II method. The flow optimization problem was first developed for grid topology of CR WMNs. Results showed optimized flow of the CR WMNs with ideal interference free link scheduling. Second, a practical interference free link scheduling algorithm was suggested. Simulation results showed that the normalized cost of the optimized algorithm was close to 1 and offered a cross-layer optimized solution between scheduling and network flow. The throughput of the CR WMNs using the suggested algorithm was optimally enhanced.