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Numerical solution of the one‐dimensional wave equation with an integral condition
Author(s) -
Saadatmandi Abbas,
Dehghan Mehdi
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20177
Subject(s) - mathematics , legendre polynomials , partial differential equation , hyperbolic partial differential equation , mathematical analysis , boundary value problem , first order partial differential equation , partial derivative , integral equation
The hyperbolic partial differential equation with an integral condition arises in many physical phenomena. In this research a numerical technique is developed for the one‐dimensional hyperbolic equation that combine classical and integral boundary conditions. The proposed method is based on shifted Legendre tau technique. Illustrative examples are included to demonstrate the validity and applicability of the presented technique. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 282–292, 2007