Abstract
The paper is dedicated to the development of time-step method for numerical inversion of Laplace transformation, based on the original function integration theorem. Derived stepping scheme is determined by the choice of quadrature formula with a key and the choice of numerical solution scheme for Cauchy problem, which arises for the Volterra integral. Quadrature formula with a key is a result of special highly oscillatory integration. The approach is used to numerically obtain displacement & pore pressure originals for a one-dimensional poroelastic problem. Keywords: Laplace transformation inversion, time-step method, Runge − Kutta scheme, highly oscillatory quadrature, one-dimensional poroelastic problem.
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