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Numerical Methods for Modeling Inflation: a Comparative Analysis of Mathematical Models

Year: 2025
Type: conference-paper
Abstract: Inflation modeling is a critical area of research in economic analysis, enabling policymakers and analysts to predict and control inflationary trends effectively. This paper provides a comparative overview of advanced differential equation-based mathematical models used in inflation estimation, including the Poisson equation, the heat equation, Navier-Stokes equations, Hamilton-Jacobi-Bellman (HJB) equation, Kalman filtering, and stochastic differential equations (SDEs). The paper also introduces numerical methods, such as finite difference and iterative algorithms, for solving these models. A concrete example problem related to regional inflation variations is explored, showcasing numerical solutions for better understanding and implementation.
Language: English
Open Access status: green
OpenAlex ID: W6930666706
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