Generalized implicit Euler method for hyperbolic functional differential equations
Copyright policy )Generalized implicit Euler method for hyperbolic functional differential equations
AbstractNonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- University of Gdańsk Poland
functional difference inequalities, Error bounds for initial value and initial-boundary value problems involving PDEs, quasilinearization, implicit difference methods, Partial functional-differential equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, First-order nonlinear hyperbolic equations
functional difference inequalities, Error bounds for initial value and initial-boundary value problems involving PDEs, quasilinearization, implicit difference methods, Partial functional-differential equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, First-order nonlinear hyperbolic equations
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