Numerical solution of moving plate problem with uncertain parameters

TL;DR

This paper introduces a Fuzzy Finite Difference Method to numerically solve a fluid flow problem between moving plates with uncertain initial conditions and parameters, analyzing the impact of fuzzy uncertainties on the solution.

Contribution

It develops a novel Fuzzy Finite Difference Method combining fuzzy numbers with FDM for uncertain fluid flow problems between plates.

Findings

The FFDM effectively solves the uncertain fluid flow problem.

Sensitivity analysis reveals the influence of fuzzy parameters.

The method provides a new approach for handling uncertainty in fluid dynamics.

Abstract

This paper deals with uncertain parabolic fluid flow problem where the uncertainty occurs due to the initial conditions and parameters involved in the system. Uncertain values are considered as fuzzy and these are handled through a recently developed method. Here the concepts of fuzzy numbers are combined with Finite Difference Method (FDM) and then Fuzzy Finite Difference Method (FFDM) has been proposed. The proposed FFDM has been used to solve the fluid flow problem bounded by two parallel plates. Finally sensitivity of the fuzzy parameters has also been analysed.