The numerical solution of the time-dependent matrix equationA(t)V(t) + WA(t) = G(t)

DOI10.1080/00207727808941756zbMath0394.65031OpenAlexW1969644731MaRDI QIDQ4176908

D. J. Walton, William D. Hoskins

Publication date: 1978

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727808941756

zbMATH Keywords

Crank-NicolsonPartial Differential EquationsParabolic EquationInitial and Boundary ConditionsRectangular RegionTime-Dependent Matrix Equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Matrix equations and identities (15A24) Stability of solutions to ordinary differential equations (34D20) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• On the controllability of parabolic systems by scanning controls
• Exact Control of a Parabolic Differential Equation using an Implicit Runge-Kutta Method
• The numerical solution of the matrix equationXA+AY=F
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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