A fundamental sequences method with time-reduction for one-dimensional lateral Cauchy problems
Ihor Borachok,
Roman Chapko,
Tomas Johansson
Abstract:A fundamental sequences method is derived for the numerical solution of an ill-posed one-dimensional lateral Cauchy problem for a hyperbolic damped wave equation, including as a special case the parabolic heat equation. Either the Laguerre transform or the Houbolt finite difference scheme is applied to reduce the time-dependent lateral Cauchy problem to a sequence of second-order ordinary differential equations (ODEs) with function values and derivatives specified at the right endpoint of a finite space interv… Show more
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