Accurate numerical solution of coupled time dependent parabolic initial value problems.

DOI10.1016/S0168-9274(03)00086-2zbMath1034.65083MaRDI QIDQ1417627

J. I. Castaño, Lucas Jodar, Gregorio Rubio, J. A. Cano Sanchez

Publication date: 5 January 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmFourier transformerror analysisInitial value problemCoupled parabolic system

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Solving the random Cauchy one-dimensional advection-diffusion equation: numerical analysis and computing ⋮ Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach

Cites Work

• Accurate analytic numerical solution of initial value problems for parabolic systems
• Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization
• Analytic numerical solution of coupled semi-infinite diffusion problems
• Exact and analytic numerical solution of coupled diffusion problems in a semi-infinite medium
• Applications of analysis on nilpotent groups to partial differential equations
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