Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient

DOI10.1016/S0895-7177(99)00051-5zbMath0992.65109MaRDI QIDQ1596913

A. E. Posso, Lucas Jodar

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

wave equationFrobenius methodBernstein polynomiala priori error boundlogarithmic normanalytic numerical solution

Mathematics Subject Classification ID

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 (6)

Solving Dirichlet's problem in a rectangle for separate variable coefficient elliptic equations ⋮ Chebyshev rational matrix approximation with a priori error bounds for linear and Riccati matrix equations ⋮ Exact solution of variable coefficient mixed hyperbolic partial differential problems ⋮ An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite medium. ⋮ Exact solutions and numerical approximations of mixed problems for the wave equation with delay ⋮ Analytic-numerical solutions with a priori error bounds of initial value problems for the continuous coefficient wave equation

Cites Work

• Accurate continuous numerical solutions of time dependent mixed partial differential problems
• Applications of analysis on nilpotent groups to partial differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient