We are very pleased to present the proceedings of The Second International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2019). The conference is organized by the Department of Applied Sciences (Mathematics), Galgotias College of Engineering and Technology, Greater Noida, Uttar Pradesh, India on December 21-22, 2019, in Greater Noida, Uttar Pradesh, India. Present conference has been conceived to bring together young researchers, engineers, scientists, academicians and industrial delegates on a common platform to share and exchange their research findings including theoretical results, novel Mathematical models and work in progress in the areas of industrial and Applied Mathematics. The scientific & technical program of the two days international conference have review talks, invited lectures, contributed oral and poster presentations in the following areas:(1) Computational & Theoretical Fluid Dynamics(2) Theoretical & Computational Mechanics(3) Modeling and Simulation(4) Differential Equations(5) Numerical Analysis(6) Probability and Statistics(7) Computer Vision & Image Processing(8) Optimization and Operations Research(9) Fuzzy & Neural Networks etc.