A numerical method for the wave equation subject to a non-local conservation condition

A numerical method based on an integro-differential equation and local interpolating functions is proposed for solving the one-dimensional wave equation subject to a non-local conservation condition and suitably prescribed initial-boundary conditions. To assess its validity and accuracy, the method...

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Bibliographic Details
Published inApplied numerical mathematics Vol. 56; no. 8; pp. 1054 - 1060
Main Author Ang, Whye-Teong
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.08.2006
Elsevier
Subjects
Exact sciences and technology
Integral equations, integral transforms
Integro-differential formulation
Local interpolating functions
Mathematics
Non-local condition
Numerical analysis
Numerical analysis. Scientific computation
Numerical solution
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Wave equation
Wave equation
Local interpolating functions
Non-local condition
Integro-differential formulation
Numerical solution
Initial condition
Numerical method
Boundary condition
Numerical analysis
Applied mathematics
Local interpolating function
Integrodifferential equation
Non local condition
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Summary:A numerical method based on an integro-differential equation and local interpolating functions is proposed for solving the one-dimensional wave equation subject to a non-local conservation condition and suitably prescribed initial-boundary conditions. To assess its validity and accuracy, the method is applied to solve several test problems.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2005.09.006