In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in the sense of gH-differentiability. The methods clearly are very efficient and powerful techniques in finding the solutions to the proposed equations. We also illustrate them by some examples. The results reveal that the methods are very effective, convenient, and accurate mathematical tools for solving fuzzy heat-like and wave-like equations with variable coefficients.

中文翻译：

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模糊AIM的模糊VIM分解法与变系数模糊热波动方程求解的比较

在这项工作中，我们从gH可微性的角度研究了模糊Adomian分解方法（ADM）和模糊变分迭代方法（VIM）用于求解具有可变系数的模糊热方程和波动方程。在寻找所提出方程的解时，这些方法显然是非常有效和强大的技术。我们还将通过一些示例来说明它们。结果表明，该方法对于求解变系数模糊的类热和类波动方程是非常有效，方便，准确的数学工具。