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DIFFERENCE SCHEME FOR WAVE EQUATION WITH STRONG DISSIPATIVE TERM

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1998-1999
Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this study, for the periodic problem with respect to time of wave theory, three-level difference scheme is presented. The difference scheme is constructed by the method of integral identities with the use of linear basis functions and interpolating quadrature rules with the remainder terms in integral form. Error of difference solution is estimated.
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25-31
  • English

REFERENCES

References: 

\)\. AMIRALIYEV, G.M., 1991. On Difference Schemes for Problems of the Theory of Dispersive Waves, Soviet Math. Dokl. Vol. 42, No:2. 235-238.
(2|. AMIRALlYEV, G.M., 1988. Towards the Numerical Solution of the Periodical On Time Problem for Pseudo-Parabolic Equation, Numerical methods of Analysis BAKU Stale University, 3-8.
[3j. AMIRALIYEV, G.M., 1987. Investigation of the Difference Schemes for the Quasi-Linear Sobolev Equations, Differential Equations V.23, No.8. 1453-1455 (Russian).
[4|. LAGNESE, J.L., 1972. General Boundary-Value Problems for Differential Equations of Sobolev Type, SIAM J. Math. Anal. V.3, 105¬119.
¡5]. LEBEDEV, V.L, 1957, The Method of Difference for the Equations of
Sobolev Type, Dokl. Acad. Sci. USSR, V.l 14, No.6, 1166-1169. |6|. LEOPOLD, H., 1985, Periodic Solutions to A One-Dimensional
Strongly Nonlinear Wave Equation with Strong Dissipation, Czechosl.
Math. .1. V.35, (110). p.278-293. [7j. WEBB, G.F., 1980. Existence and Asymptotic Behavior for a Strongly
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