Solving coupled systems of linear second-order differential equations knowing a part of the spectrum of the companion matrix

DOI10.1016/0377-0427(92)90228-PzbMath0743.34005MaRDI QIDQ1185982

Enrique Navarro, Lucas Jodar

Publication date: 28 June 1992

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

zbMATH Keywords

initial-value problemsMoore-Penrose pseudo-inversealgebraic matrix equationcoupled systems of time-invariant second-order differential equationsexplicit closed- form solution

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical analysis in abstract spaces (65J99)

Related Items (3)

Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations ⋮ Three-dimensional stress analysis of orthotropic curved tubes. II: Laminate solution ⋮ Generalized run-and-tumble model in 1D geometry for an arbitrary distribution of drift velocities

Uses Software

• Matlab

Cites Work

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• On complete set of solutions for polynomial matrix equations
• Explicit solutions for second order operator differential equations with two boundary value conditions
• Rectangular co-solutions of polynomial matrix equations and applications
• Nineteen Dubious Ways to Compute the Exponential of a Matrix

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