What are the benefits of analytical solution?
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Analytical solutions have several benefits. They help in validating numerical methods and understanding physical effects . Analytical solutions are also useful in handling large-scale problems, such as hydrocarbon reservoirs, through dimensional analysis . They provide fundamental building blocks for superposition of solutions in heat conduction problems . Analytical solutions allow for efficient evaluation of exact solutions using short- and large-time representations . In thermoelasticity problems, analytical solutions help determine the highest stress values throughout the heating time range . They also provide a means to verify computer solutions obtained by numerical methods . For computational physicists, analytical solutions offer a way to resolve discrepancies between numerical simulations and experimental data, facilitating theory-simulation and theory-data comparisons .
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| Papers (5) | Insight |
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| The provided paper does not explicitly mention the benefits of analytical solutions. | |
15 Nov 2019 3 Citations | The paper does not explicitly mention the benefits of analytical solutions. |
28 Apr 2021 19 Citations | The benefits of the analytical solution in the provided paper are that it allows for determining the highest stress values throughout the heating time range and does not require a large number of calculations at fixed times. |
| Analytical solutions help validate numerical methods, understand mechanisms and physical effects, and provide physical insight into problems. | |
| The benefits of the analytical solution in the provided paper include easy calculation, rapid estimation of ablation behavior for engineering purposes, and verification of computer solutions obtained by numerical methods. |
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