August 2024
Intermediate to advanced
355 pages
11h 19m
English
Content preview from Zhang Time Discretization (ZTD) Formulas and Applications
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Chapter 12Future Different-Layer Equation System Solving
Abstract
In this chapter, future different-layer equation system (FDLES) is investigated. First, on the basis of zeroing neural network (ZNN) method, a zeroing equivalency (ZE) theorem is presented. Then, a continuous-time ZNN (CTZNN) model is developed for continuous time-dependent different-layer equation system (CTDDLES) solving. Next, a seven-step Zhang time discretization (7S-ZTD) formula is presented to discretize the CTZNN model, and thus a seven-step discrete-time ZNN (7S-DTZNN) algorithm is developed for the FDLES solving. Four-step DTZNN (4S-DTZNN) and three-step DTZNN (3S-DTZNN) algorithms are also developed for the same problem solving. Besides, ...
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