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Protection of water quality from the hazards of industrial, agricultural, urban, and other sources of pollutants has been a big concern for water resources managers in recent decades. Sources of pollutants are often classified into different large categories, which can be predicted by modeling. In this investigation, a river-reservoir system with the controllable pollution source was chosen and a one-dimensional pollutant transport model was considered to calculate the assimilation capacity (AC) of the river. All of the modeling procedures were processed and accomplished with the analytical solution and also by numerical methods, QUICK (quadratic upwind differencing) approach and SEF (symmetric exponential function) method, by simulating in MATLAB. Results for symmetrical pollution entrance demonstrate that in the domain of C_s (allowable concentration) from 0.13 to 0.71 mg/l, the amount of (mean area of …