Classification of pdes

The following chapters contain core material supported by pen and paper exercises together with computer-based exercises where appropriate. In addition there are web links to: worked solutions, computer codes, audio-visual presentations, case studies, further reading. Codes are written using Scilab (a Matlab clone, downloadable for free from http://www.scilab.org/) and also Matlab.

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Chapter 1 is for readers who have less background in partial differential equations (PDEs). It contains materials which will be useful in understanding some of the jargon related to the rest of the chapters in this book. A discussion about the classification of the PDEs is presented. Here, we outline the major analytical methods. Later in the chapter, we introduce the most important numerical techniques, namely the finite difference method and finite element method. In the last section we briefly introduce the level set method.

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