Mixed problems for separated variable coefficient wave equations: Analytic-numerical solutions with a priori error bounds

DOI10.1016/S0377-0427(00)00556-2zbMath1001.65109OpenAlexW2087519630MaRDI QIDQ5946741

Lucas Jodar, Pedro Almenar

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00556-2

zbMATH Keywords

wave equationeigenvaluesseries solutioneigenfunctionsSturm-Liouville problemsa priori error boundsanalytic-numerical solutionreparation of variables

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Wave equation (35L05) 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)

Related Items (7)

Solving Dirichlet's problem in a rectangle for separate variable coefficient elliptic equations ⋮ Constructing approximate diffusion processes with uncertain data ⋮ Constructive solution of strongly coupled continuous hyperbolic mixed problems. ⋮ Exact solution of variable coefficient mixed hyperbolic partial differential problems ⋮ Numerical solution with a priori error bounds of coupled time dependent hyperbolic systems ⋮ An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite medium. ⋮ Explicit bounds for the solutions of second order linear differential equations

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• Accurate continuous numerical solutions of time dependent mixed partial differential problems
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