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

• Published in: Applied numerical mathematics Vol. 56; no. 8; pp. 1054 - 1060
• Main Author: Ang, Whye-Teong
• Format: Journal Article
• Language: English
• 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

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...