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Physical Sciences and Mathematics Commons

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Mathematics

Turkish Journal of Mathematics

Journal

2008

Hyperbolic equation; Difference schemes; Stability

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Full-Text Articles in Physical Sciences and Mathematics

A Numerical Solution Of Wave Equation Arising In Non-Homogeneous Cylindrical Shells, Allaberen Ashyralyev, Mehmet Emi̇r Köksal Jan 2008

A Numerical Solution Of Wave Equation Arising In Non-Homogeneous Cylindrical Shells, Allaberen Ashyralyev, Mehmet Emi̇r Köksal

Turkish Journal of Mathematics

A numerical solution of wave equation arising in non-homogeneous cylindrical shells\ is considered. Stable numerical schemes are developed. The stability estimates for the solution of these difference schemes and first and second order difference derivatives are presented. Applying the difference schemes, the numerical methods are proposed for solving the the given initial-boundary value problem.