Abstract
The aim and purpose of this text is to show the reader how to find solutions of both linear and nonlinear partial differential equations (PDEs). It will focus almost exclusively on equations from mathematical physics. This is not surprising since PDEs model phenomena which evolve in both space and time. As remarked in the introduction, ordinary differential equations (ODEs) evolve exclusively with respect to a single variable (generally time). PDEs evolve with respect to several variables. In mathematical physics, those variables are temporal (t) and spatial (x). Among the most famous and meaningful PDEs in mathematical physics are Maxwell’s equations. These equations, expressed by James Clerk Maxwell (1831–1879), provide a complete model of electromagnetic radiation unifying electricity, magnetism, and light [85] under the umbrella of classical Newtonian physics. They are a crowning achievement not only of 19th century science but of human history.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
