Numerical Control of a Semilinear Wave Equation on an Interval
نویسندگان
چکیده
We are concerned with the numerical exact controllability of semilinear wave equation on interval (0, 1). introduce a Picard iterative scheme yielding sequence approximated solutions which converges towards solution null problem, provided that initial data small enough. The boundary control, is applied at endpoint $$x=1$$ , taken in space $$H^1_0(0,T)$$ for $$T=2$$ . For linear part, control input obtained by imposing transparent condition Next, we provide several simulations to show efficiency algorithm, using collocation pseudospectral methods Chebychev grids discretize second order derivative equation.
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ژورنال
عنوان ژورنال: Advances in delays and dynamics
سال: 2022
ISSN: ['2197-1161', '2197-117X']
DOI: https://doi.org/10.1007/978-3-030-94766-8_4