On stable implicit difference scheme for hyperbolic–parabolic equations in a Hilbert space
Copyright policy )On stable implicit difference scheme for hyperbolic–parabolic equations in a Hilbert space
AbstractThe first‐order of accuracy difference scheme for approximately solving the multipoint nonlocal boundary value problem for the differential equation in a Hilbert space H, with self‐adjoint positive definite operator A is presented. The stability estimates for the solution of this difference scheme are established. In applications, the stability estimates for the solution of difference schemes of the mixed type boundary value problems for hyperbolic–parabolic equations are obtained. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009
- Fatih University Turkey
Finite difference and finite volume methods for ordinary differential equations, Initial-boundary value problems for PDEs of mixed type, Hilbert space, stability, hyperbolic-parabolic equation, nonlocal boundary-value problem, Linear differential equations in abstract spaces, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical solutions to abstract evolution equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, implicit difference scheme, Stability and convergence of numerical methods for ordinary differential equations
Finite difference and finite volume methods for ordinary differential equations, Initial-boundary value problems for PDEs of mixed type, Hilbert space, stability, hyperbolic-parabolic equation, nonlocal boundary-value problem, Linear differential equations in abstract spaces, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical solutions to abstract evolution equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, implicit difference scheme, Stability and convergence of numerical methods for ordinary differential equations
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