AIP conference proceedings · 2016 · 15 citations · 17 references
Natural SciencesPhysicsComputational MechanicsDifferential EquationsFluid DynamicsConvergence AnalysisDifference EquationsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsNumerical StabilityFinite Difference SchemesHyperbolic Partial Differential EquationsParabolic Partial Differential EquationsStability Of Finite Difference Schemes
In the present paper, a second order of accuracy difference scheme for the approximate solution of a source identification problem for hyperbolic-parabolic equations is constructed. Theorem on stability estimates for the solution of this difference scheme and their first and second order difference derivatives is presented. In applications, this abstract result permits us to obtain the stability estimates for the solutions of difference schemes for approximate solutions of two source identification problems for hyperbolic-parabolic equations.
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