SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS WITH RANDOM VARIABLE COEFFICIENTS BY FOURIER TRANSFORM METHOD
Abstract
The primary aim of this work is to utilize the Fourier Transform in addressing random ordinary differential equations characterized by stochastic coefficients. The Fourier Transform Method was employed to analyze random ordinary differential equations arising from the stochastic selection of coefficients or initial conditions. The coefficients or beginning conditions were treated as random variables by applying uniform, exponential, and beta probability distributions to them. MATLAB (2013a) was employed to compute the statistical characteristics of the derived random solutions, encompassing expected value, variance, and confidence intervals. The results acquired are illustrated graphically and examined comprehensively.
Keywords
Fourier Transform Method, Continuous probability distribution, Expected value, Variance
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