Boundary observability of semi-discrete second-order integro-differential equations derived from piecewise Hermite cubic orthogonal spline collocation method

DOI10.1007/S00245-016-9367-ZzbMath1453.65465OpenAlexW2474039826MaRDI QIDQ1705170

Da Xu

Publication date: 14 March 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9367-z

zbMATH Keywords

observabilityfilteringorthogonal spline collocation methodssecond-order integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Observability (93B07) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (6)

Observability inequality for piecewise Hermite cubic orthogonal spline collocation semi‐discretization of the wave‐Petrovsky system with memory ⋮ Observability inequalities for Hermite bi-cubic orthogonal spline collocation methods of 2-D integro-differential equations in the square domains ⋮ Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels ⋮ Controllability of nonlinear impulsive integro-differential fractional time-invariant systems ⋮ An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays ⋮ The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory

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