A Critical Evaluation of Mathematical Modeling Approaches in the Scientific Research

The Scientists and engineers are engaged in finding the cause-and-effect relationships in various processes since time immemorial. It has helped them understand and optimize the interplay of various process parameters to achieve the best output. Just like any other scientific research, it is equally important to conduct experiments, collect data, and develop mathematical models for the welding processes. The increased automation and mechanization has made it further important. The mathematical modeling approaches used in welding research have evolved considerably with time. This paper provides an overview of various mathematical modeling approaches used in welding research. The statistical modeling has emerged out to be the best approach in present times.