A physics-constrained deep residual network for solving the sine-Gordon equation
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A physics-constrained deep residual network for solving the sine-Gordon equation |
| Jun Li(李军),Yong Chen(陈勇) |
| Figure 4. The antikink solution to the sine-Gordon equation. Top: an exact antikink is compared to the predicted solution of the learned model (right panel). The model correctly captures the dynamics and accurately reproduces the solution with a relative ${{\mathbb{L}}}_{2}$ error of 6.09e-04. Bottom: the comparison of the predicted solutions and the exact solutions at the three different temporal snapshots depicted by the white vertical lines in the top panel is presented. |
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