Laplace and Poisson Equation in oblate and prolate spheroids

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SUMMARY

The discussion focuses on solving the Laplace and Poisson equations in oblate and prolate spheroids using the method of separation of variables. Participants recommend the textbook "Methods of Theoretical Physics" by Morse and Feshbach, which provides detailed solutions for these equations across various separable coordinate systems. The inquiry highlights the challenges faced by individuals in mastering these mathematical concepts.

PREREQUISITES
  • Understanding of Laplace and Poisson equations
  • Familiarity with the method of separation of variables
  • Knowledge of oblate and prolate spheroids
  • Basic mathematical physics concepts
NEXT STEPS
  • Study "Methods of Theoretical Physics" by Morse and Feshbach
  • Research advanced techniques in solving partial differential equations
  • Explore coordinate transformations in mathematical physics
  • Learn about applications of Laplace and Poisson equations in physics
USEFUL FOR

Students and professionals in mathematical physics, particularly those interested in solving complex differential equations and understanding their applications in various coordinate systems.

kingdavid
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Hi everyone,
I have been trying to solve both laplace and poisson equation using method of separation of variable but is giving me a hard time.
Pls can anyone refer me to any textbook that solve this problem in great detail?

Thanks
 
Physics news on Phys.org
Morse and Feshbach solve these problems in all separable coordinate systems in their books Methods of Theoretical Physics.
 
Hi Marcus,
Thank you for your response to my request.
I will go and find the book.
I quite appreciate it.

Kingdavid
 

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