Moving Boundary PDE Analysis is popular PDF and ePub book, written by W. E. Schiesser in 2019, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Moving Boundary PDE Analysis can be Read Online from any device for your convenience.
Moving Boundary PDE Analysis Book PDF Summary
Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming.
Detail Book of Moving Boundary PDE Analysis PDF
- Author : W. E. Schiesser
- Release : 21 September 2024
- Publisher : CRC Press
- ISBN : 0429275129
- Genre : Mathematics
- Total Page : 182 pages
- Language : English
- PDF File Size : 9,8 Mb
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