Modeling and Solution Application of Ordinary Differential Equations in Continuously Variable Problems
Abstract
Ordinary differential equations (ODEs), as a fundamental branch of mathematical analysis, serve as essential tools for describing
continuous phenomena and revealing dynamic relationships between variables. Widely applied across natural sciences, engineering technology, social sciences, and other disciplines, this paper integrates ODE theory to analyze modeling approaches and solution methods for continuous change problems. Through practical case studies from diverse fields, it provides a detailed exposition of ODE-based modeling processes
in continuous change scenarios.
continuous phenomena and revealing dynamic relationships between variables. Widely applied across natural sciences, engineering technology, social sciences, and other disciplines, this paper integrates ODE theory to analyze modeling approaches and solution methods for continuous change problems. Through practical case studies from diverse fields, it provides a detailed exposition of ODE-based modeling processes
in continuous change scenarios.
Keywords
Ordinary differential equations; Continuously variable problems; Mathematical modeling; Solution methods; Practical applications
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DOI: http://dx.doi.org/10.70711/wef.v4i1.9587
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