Computing accurate solutions for coupled systems of second order partial differential equations II

DOI10.1080/00207169208804139zbMath0813.65114OpenAlexW4254485567MaRDI QIDQ4323404

Lucas Jodar

Publication date: 30 March 1995

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804139

zbMATH Keywords

initial-boundary value problemtruncationaccuracyerror boundupper error boundanalytical approximate solutioncoupled partial differential system

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) 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) Initial value problems for second-order parabolic systems (35K45)

Related Items

Continuous numerical solutions and error bounds for time dependent systems of partial differential equations: Mixed problems ⋮ A new matrix approach for solving second-order linear matrix partial differential equations ⋮ A matrix approach to the analytic-numerical solution of mixed partial differential systems ⋮ Analytic numerical solution of coupled semi-infinite diffusion problems ⋮ A matrix constructive method for the analytic-numerical solution of coupled partial differential systems ⋮ Exact and approximate solutions with a priori error bounds for systems of time-dependent wave equations ⋮ Exact and analytic numerical solution of coupled diffusion problems in a semi-infinite medium ⋮ Analytic-numerical solutions with a priori error bounds for time-dependent mixed partial differential problems ⋮ Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order ⋮ Uniqueness of solutions for systems of separated variable coefficient partial differential equations

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