After a brief review of elementary ODE techniques and discussions on Fourier series and Sturm-Liouville problems, the author introduces the heat, Laplace, and wave equations as mathematical models of physical phenomena. He then presents a number of solution techniques and applies them to specific initial/boundary value problems for these models. Discussion of the general second order linear equation in two independent variables follows, and finally, the method of characteristics and perturbation methods are presented.
|Number of pages||272|
|Publication status||Published - 26 Feb 2002|
|Name||CRC Mathematics Series|
|Publisher||Chapman and Hall|
- elementary partial differential equations
- differential equations