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October 20, 2025Open Access

An explicit computational approach for a three-dimensional system of nonlinear elastodynamic sine-Gordon problem

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Authors

ENEric Ngondiep

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Overview

The proposed explicit method improves stability and convergence in nonlinear elastodynamic systems, enhancing computational efficiency.

Key Points

  • The proposed numerical scheme achieves temporal second-order convergence in solving nonlinear elastodynamic equations.
  • Stability and error estimates validate the effectiveness of the explicit computational method under specific time step restrictions.
  • The strong norm framework is used to analyze both stability and convergence of the developed numerical approach.
  • Numerical examples confirm the theoretical results, demonstrating the practical applicability of the new computational technique.

Cite This Study

Eric Ngondiep (2025) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf558https://doi.org/10.48550/arxiv.2506.14807
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