New Trend of Materialized Technology and Elite Human Capital—Endogenous Growth Model Improvement and Computer Implementation Framework

“The steady development of human capital and science and technology” has always been the two recognized driving forces of economic growth, and the corresponding endogenous growth theory is also the mainstream method to explain economic growth. However, with the development of society, the dynamic equation of technology and human capital in the traditional model of “learning by doing” is insufficient to explain. To study the dynamic evolution rules of technology and human capital, considering the physical and chemical technology, the scientific research resource, education investment, technology and talent selection factors, we summarize the function form, develop a new framework of endogenous growth model, and carry out the preliminary analysis of the formation of dynamic optimization problems as the general framework of multidimensional differential equations. Finally, the steps of computer analysis of multidimensional nonlinear differential equations are given to provide the basis of economic theory analysis.