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The method is third-order accurate in time and converges exponentially fast in space for smooth solutions.

The PHI2 method is first presented.

The present method is first validated by available analytical solutions.

The LRTE MLE method is first verified using synthetic dataset.

The method is first verified numerically using finite element simulations.

First-order eigensensitivity analysis using Nelson's method is first reviewed.

In this article, the applicability of the method is first demonstrated using numerical simulations.

This method is first discussed for various systems (series, parallel and general).

The numerical method is first validated by comparing with existing experimental results.

The method is first illustrated using scalar functions of multiple fuzzy variables.

The method is first validated by considering profiles for which analytical solutions exist.

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