Shihui Jiang
School of statistics and Mathematics,Henan Finance University,Zhengzhou,450046,China

DOI:https://doi.org/10.5912/jcb1084


Abstract:

In recent years, the fractional calculus equation has been widely used in many application disciplines, and its numerical solution accuracy and efficiency requirements are also higher and higher. MATLAB is used to solve mathematical problems has been very common, can quickly and intuitively solve the equation. Therefore, we will study the programming method of MATLAB language to solve the digital health problems and linear algebra problems of calculus. According to the general form of fractional order linear constant coefficient multinomial differential equation, the equation model is established. The shifted Jacobi polynomials are deformed by definition and linear algebra theory. Using the function approximation theory, the numerical calculation algorithm of calculus is designed. Use C++ to call the function encapsulation in MATLAB to complete the program design of the AI-based program used for solving health problems and algebra problems. Through the actual calculation example, it is verified that the solution precision of the method used in the study can reach 10-4, which meets the solution precision and can be used to solve practical problems.