Dear Raed Ahmed, The solution in your case would vary with the nature of data, so if you share the nature of data may be i would be able to suggest a way
Dear Raed Ahmed, if the correct error analysis is too tedious you can use the Monte-Carlo.-Method That means you vary your input data by adding random numbers, normally distributed about zero with a standard deviation corresponding to the observation error of your data. You then run the computation with the different random values, e.g 100 times. The results can be analyzed statistically and you will get the desired errors, variance etc.