A matrix approach to the analytic-numerical solution of mixed partial differential systems

DOI10.1016/0898-1221(95)00071-6zbMath0839.65105OpenAlexW2029065770MaRDI QIDQ1903769

Lucas Jodar, Enrique Navarro, Enrique Ponsoda

Publication date: 16 June 1996

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

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00071-6

zbMATH Keywords

spectral methodanalytic-numerical solutiontruncated Fourier seriesmatrix normsmatrix functionsSchur decompositionmixed partial differential systems

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (10)

Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations ⋮ The stable discrete numerical solution of strongly coupled mixed partial differential systems ⋮ Analytic solution of mixed problems for the generalized diffusion equation with delay ⋮ On exact series solution of strongly coupled mixed parabolic problems ⋮ Convergent discrete numerical solutions of coupled mixed partial differential systems ⋮ Uniqueness of solutions for systems of separated variable coefficient partial differential equations ⋮ Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems ⋮ Analytic-numerical solutions with a priori error bounds for a class of strongly coupled mixed partial differential systems ⋮ Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization ⋮ Exact solution of coupled mixed diffusion problems with coupled boundary conditions.

Cites Work

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