August 2020
Intermediate to advanced
388 pages
9h 21m
English
Content preview from Soft Numerical Computing in Uncertain Dynamic Systems
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5.5.1: Error analysis
In the numerical investigation of the problem, we know that we need the convergence solution, consistency of the problem, and the stability of the method. The presented numerical methods have been analyzed before in accordance with convergency and consistency, and now we only discuss the stability of the fuzzy impulsive problem.
5.5.1.1: Stability
To investigate the stability of the problem, we add a small perturbation δ3 in the fuzzy initial value. Clearly, it causes some small perturbations like δ2, δ1 in the other equations. It is expected that the created or forced perturbation δ in the solution of the problem should be small as well. To this end, consider the perturbed fuzzy impulsive differential equation in the ...
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