History of the development of mathematical modeling of catalytic processes and reactors

The development of mathematical modeling of catalytic processes and reactors to design new processes and equipment, is discussed. Mathematical model consists of systems of nonlinear algebraic equations and/or ordinary and partial differential equations. The development of the natural science and humanities on the basis of physical and mathematical knowledge with practice and the integration of science and education have encouraged the development of mathematical chemistry. Mathematical modeling of chemical engineering processes and chemical reactors has the ability to solve mathematical problems owing to the development of computers. The first scientific basis for modeling was MN-7, a vacuum-tube simulator, which could solve systems of nonlinear ordinary differential equations up to sixth order. The development of modeling is based on the achievements in computational mathematics, which help to increase the intensity of both reactions and heat-and mass-transfer processes.