Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method (Q1705170)
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scientific article; zbMATH DE number 6850154
| Language | Label | Description | Also known as |
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| English | Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method |
scientific article; zbMATH DE number 6850154 |
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Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method (English)
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14 March 2018
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The author studies the boundary observability of semi-discrete second-order integro-differential equations derived from a piecewise Hermite cubic orthogonal spline collocation method. First, the author analyzes the spectrum of the equation considered and gives a representation of the solution with a new finite sequence to the associated system. Then, he proves that the new sequence in the class \(C_{h}\) satisfies the theorems stated. Piecewise Hermite cubic orthogonal spline collocation semi-discretization is considered.
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orthogonal spline collocation methods
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second-order integro-differential equations
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observability
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filtering
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