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Solution techniques for elementary partial differential equations

Constanda, C. (2002) Solution techniques for elementary partial differential equations. CRC Mathematics Series . Chapman and Hall. ISBN 1-58488-257-3

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Abstract

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.