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January 1, 1911Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character

IX. The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam

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Authors

LRLewis Fry Richardson

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Overview

Develops methods to apply differential equations in physics to irregular bodies, suggesting new analytical techniques.

Key Points

  • The aim is to develop methods for applying differential equations more freely using difference equations.
  • Develops approximate difference equations for physical problems.
  • Focuses on integration of partial equations regarding irregular-shaped boundaries.
  • Continues from previous work on graphic determination of streamlines and equipotentials.
  • Demonstrates that analytical methods are accurately applied in conventional scenarios.
  • Finds that existing methods lack broad applicability in integrating equations with irregular boundaries.

Cite This Study

Lewis Fry Richardson (1911) studied this question.

synapsesocial.com/papers/6a16af3025571367076b681fhttps://doi.org/10.1098/rsta.1911.0009
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