What is the best book for solving PDEs?

Thread starter Tosh5457
Start date May 31, 2014
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Book Pdes Reference

In summary, a PDE, or partial differential equation, is a mathematical equation used to model physical phenomena that vary in space and time. It has various applications in fields such as physics, engineering, economics, and biology. Some common methods for solving PDEs include separation of variables, Fourier series, and numerical methods. There are also recommended books such as "Partial Differential Equations" by Lawrence C. Evans and online resources and courses available for learning about PDEs.

May 31, 2014

Tosh5457

Hi, I need a book that I can use for reference to solve any Partial Differential Equation imaginable, if it has a solution of course. Can you suggest me any?

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Jun 1, 2014

vanhees71

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A classic is Courant, Hilbert Methods of Mathematical Physics, vol. 2.

1. What is a PDE?

A PDE, or partial differential equation, is a mathematical equation that involves multiple variables and their partial derivatives. It is used to model physical phenomena that vary in space and time.

2. What are some common applications of PDEs?

PDEs are used in various fields such as physics, engineering, economics, and biology to model complex systems and phenomena such as heat transfer, fluid dynamics, population dynamics, and financial markets.

3. What are some common methods for solving PDEs?

Some common methods for solving PDEs include separation of variables, Fourier series, finite difference methods, and numerical methods like finite element analysis and finite volume method.

4. Is there a recommended book for learning about PDEs?

Yes, there are many good books on PDEs, but some popular ones include "Partial Differential Equations" by Lawrence C. Evans, "Partial Differential Equations: An Introduction" by Walter A. Strauss, and "Partial Differential Equations for Scientists and Engineers" by Stanley J. Farlow.

5. Are there any online resources or courses available for learning about PDEs?

Yes, there are many online resources and courses available for learning about PDEs, such as online lectures, video tutorials, and interactive simulations. Some popular platforms for online learning include Coursera, Khan Academy, and MIT OpenCourseWare.