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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
