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- W120902178 abstract "Partial differential equations (PDEs) are a general starting point for mathematical modeling and computer-based analysis throughout all of science, engineering and applied mathematics. Computer-based methods for the numerical and analytical solution of PDEs are therefore of broad interest. In this chapter, we discuss some of the general approaches to the traveling wave solution of PDEs, including the method of lines (MOL) for numerical solutions and several approaches such as the tanh, exp and Riccati methods for analytical solutions. Each chapter typically consists of a statement of the PDE system, including areas of applications, a Matlab code for a MOL solution and a Maple code for an analytical solution, each discussed in detail along with the numerical and graphical output. A concluding summary points out the features of the numerical and analytical approaches and how they might be extended to other PDEs. All the computer code discussed in the text is available for download from the website: www.pdecomp.net ." @default.
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- W120902178 date "2012-01-01" @default.
- W120902178 modified "2023-09-27" @default.
- W120902178 title "Introduction to Traveling Wave Analysis" @default.
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- W120902178 doi "https://doi.org/10.1016/b978-0-12-384652-5.00001-7" @default.
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