This article focuses on using the method of separating variables and Fourier transform to solve string vibration problems. Starting from the research significance of string vibration problems and the study of partial differential equations, the advantages, disadvantages, and applicability of the method of separating variables and Fourier transform are compared. The method of separating variables and Fourier transform are used to solve one-dimensional wave, two-dimensional wave equation, and three-dimensional wave equation problems, providing a way of thinking for studying multidimensional wave equations.

Zhang Yixuan. Solving String Vibration Problems Based on Partial Differential Equations. Academic Journal of Mathematical Sciences (2025) Vol. 6, Issue 1: 45-50. https://doi.org/10.25236/AJMS.2025.060105.

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