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Journal article
Explicit stencil computation schemes generated by Poisson's formula for the 2D wave equation
Engineering reports (Hoboken, N.J.), v 2(5), pn/a
01 May 2020
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Abstract
A new approach to building explicit time-marching stencil computation schemes for the transient two-dimensional acoustic wave equation is implemented. It is based on using Poisson's formula and its three time level modification combined with polynomial stencil interpolation of the solution at each time-step and exact integration. The time-stepping algorithm consists of two explicit stencil computation procedures: a first time-step procedure incorporating the initial conditions and a two-step scheme for the second and next time-steps. Three particular explicit stencil schemes (with 5, 9, and 13 space points) are constructed using this approach. Their stability regions are presented. All of the obtained first time-step computation expressions are different from those used in conventional finite-difference methods. Accuracy advantages of the new schemes in comparison with conventional finite-difference schemes are demonstrated by simulation using an exact benchmark solution.
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Details
- Title
- Explicit stencil computation schemes generated by Poisson's formula for the 2D wave equation
- Creators
- Naum M. Khutoryansky - Drexel University
- Publication Details
- Engineering reports (Hoboken, N.J.), v 2(5), pn/a
- Publisher
- Wiley
- Number of pages
- 13
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Engineering Technology
- Web of Science ID
- WOS:000674440100010
- Scopus ID
- 2-s2.0-85136055837
- Other Identifier
- 991019167795704721
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- Web of Science research areas
- Computer Science, Interdisciplinary Applications
- Engineering, Multidisciplinary
- Materials Science, Multidisciplinary