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README.md

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@@ -40,16 +40,16 @@ Using the principle, we use IPOPT to solve the system of nonlinear equations. Ca
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## Comparison of numerical and analytical results
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### side by side plot
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![image](https://github.com/sandeep026/Boundary-value-problem--LGL-pseudospectral-collocation/assets/16457676/5064a0f2-45b0-46ea-9758-6516a3e98957)
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![image](sol.svg)
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### error plot
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![image](https://github.com/sandeep026/Boundary-value-problem--LGL-pseudospectral-collocation/assets/16457676/1b81e44a-6087-42e4-b34b-9bb81d2b0a6c)
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![image](esol.svg)
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### Spectral/exponential convergence
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A key feature of pseudospectral collocation is rapid decrease in discretization error with increasing grid size.
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![image](https://github.com/sandeep026/Boundary-value-problem--LGL-pseudospectral-collocation/assets/16457676/5b3b9bfb-1d86-4785-85aa-7fc8b9240e06)
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![image](exp.svg)
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## References
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