On a method of characteristics for solving a hyperbolic equation of second order
Copyright policy )On a method of characteristics for solving a hyperbolic equation of second order
The hyperbolic initial-boundary value problem for the second order equationa(t,x,u)utt+2b(t,x,u)utx+c(t,x,u)uxx=d(t,x,u,ut,ux) is solved by a special method of characteristics involving no difference equations forut andux. The discrete solution has an asymptotic expansion in even powers of the step size. Therefore, the numerical results can be improved by extrapolation to the limit.
- University of Cologne Germany
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Applications to the sciences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order hyperbolic equations, Initial-boundary value problems for second-order hyperbolic equations
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Applications to the sciences, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order hyperbolic equations, Initial-boundary value problems for second-order hyperbolic equations
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