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- W4251929174 abstract "This chapter focuses on the mechanics of elliptic partial differential equations (PDEs). It begins with the Laplace equation, which is undoubtedly one of the most important PDEs of mathematical physics. It has many applications in fluid dynamics, heat flow, electromagnetics, and potential theory. Learning how to solve linear, constant-coefficient PDEs using separation of variables method is useful technique, and results can be used as data to compare against numerical solutions. The chapter shows how to apply this technique to finding analytic solutions to time-dependent problems. It analyses several elliptic boundary value problems in bounded and unbounded domains based around Laplace's equation. The chapter discusses several techniques to give us more insights into understanding the use cases associated with PDEs and Laplace equation, and generalizes the results to general elliptic and parabolic equations and their numerical approximation." @default.
- W4251929174 created "2022-05-12" @default.
- W4251929174 date "2021-03-22" @default.
- W4251929174 modified "2023-09-27" @default.
- W4251929174 title "Boundary Value Problems for Elliptic and Parabolic Partial Differential Equations" @default.
- W4251929174 doi "https://doi.org/10.1002/9781119719731.ch10" @default.
- W4251929174 hasPublicationYear "2021" @default.
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