A conceptual rainfall-runoff mathematical model to simulate runoff using daily amount of rainfall for arid and semi-arid region

The structure of water resources needed long-term runoff. Because of the huge operating and maintenance costs of sites collecting large quantities of data, it is always a problem for developing countries. Data collection apart from these estimates of runoff from the river basin, irrigation schedules, flood control and dam design and other engineering structures have been very important to plan and manage. In hydrology, various models are available for understanding and predicting the Runoff process. The tank model is often favored for its simplicity among several conceptual precipitation runoff models. However, due to the calibration of too many parameters of the model, it requires a lot of time and effort to get better results. In fact, the price has gone up for product calibration. In this case, a new mathematical model is being developed to analyze the amount of runoff, which is rainfall. The paper illustrates the application of Ordinary Differential Equation the field of Mathematics which helps to relate the value of function itself for an unknown function of one or several variables. (paper)