A Collocation-Galerkin Method for a First Order Hyperbolic Equation With Space and Time-Dependent Coefficient
نویسنده
چکیده
A collocation-Galerkin scheme is proposed for an initial-boundary value problem for a first order hyperbolic equation in one space dimension. The Galerkin equations satisfied by the approximating solution are obtained from a weak-weak formulation of the initial-boundary value problem. The collocation points are taken to be affine images of the roots of the Jacobian polynomials of degree r — \ on [0, 1] with respect to the weight function x(l x). Optimal ¿""(¿^norm estimates of the error are derived.
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