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A5055614873
Research Areas
- advanced mathematical theories
- Nonlinear Photonic Systems
- Nonlinear Waves and Solitons
- Differential Equations and Boundary Problems
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
Istanbul Technical University
2024
Abstract In this paper, we derive a new exponential wave integrator sine pseudo-spectral (EWI-SP) method for the higher-order Boussinesq equation involving effects of dispersion. The is fully-explicit and it has fourth order accuracy in time spectral space. We rigorously carry out error analysis establish bounds Sobolev spaces. performance EWI-SP illustrated by examining long-time evolution single solitary wave, splitting, head-on collision waves. Numerical experiments confirm theoretical results.
10.1007/s11075-024-01763-6
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Numerical Algorithms
2024-01-25
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