The stable discrete numerical solution of strongly coupled mixed partial differential systems

DOI10.1016/S0898-1221(99)00321-1zbMath0974.65081MaRDI QIDQ1975345

María Vicenta Ferrer González, J. A. Cano Sanchez, Lucas Jodar

Publication date: 9 April 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitycoupled partial difference systemcoupled partial differential mixed problemsdiscrete separation of variables method

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (5)

Discrete numerical solution of coupled mixed hyperbolic problems ⋮ Stable discrete solution of coupled singular mixed partial differential problems ⋮ Discrete vector Sturm-Liouville problems with non-self-adjoint boundary conditions: eigenstructure, orthogonality, and eigenfunctions expansion ⋮ Convergent matrix pencils ⋮ Discrete numerical solution of strongly coupled mixed diffusion problems

Cites Work

• Numerical solution of a system of integrodifferential equations arising from the quantum mechanical three-body problem with Coulomb interaction
• Analytic-numerical solutions with a priori error bounds for a class of strongly coupled mixed partial differential systems
• Exact solution of coupled mixed diffusion problems with coupled boundary conditions.
• A matrix approach to the analytic-numerical solution of mixed partial differential systems
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