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Titlebook: Applied Partial Differential Equations; J. David Logan Textbook May 20042nd edition Springer Science+Business Media New York 2004 biology.

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发表于 2025-3-21 16:36:32 | 显示全部楼层 |阅读模式
期刊全称Applied Partial Differential Equations
影响因子2023J. David Logan
视频video
发行地址The text differs from other texts in that it is a brief treatment.Yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebr
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: Applied Partial Differential Equations;  J. David Logan Textbook May 20042nd edition Springer Science+Business Media New York 2004 biology.
影响因子.This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains. The text differs from other texts in that it is a brief treatment; yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations...To give this text an even wider appeal, the 2nd edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book..
Pindex Textbook May 20042nd edition
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发表于 2025-3-21 22:44:15 | 显示全部楼层
Partial Differential Equations on Unbounded Domains,s, we consider the initial value problem . Physically, this problem is a model of heat flow in an infinitely long bar where the initial temperature ϕ(.) is prescribed. In a chemical or biological context, the equation governs density variations under a diffusion process. Notice that there are no bou
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Partial Differential Equations on Bounded Domains,a is to assume that the unknown function . = .(., .) (we assume that the independent variables are . and .) in an initial boundary value problem can be written as a product of a function of . and a function of ., that is, .(., .) = .(.).(.). Thus, the variables separate. If the method is to be succe
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Partial Differential Equations in the Life Sciences,ontext. In this chapter we extend these ideas to more complicated phenomena involving age structure of a population, the propagation of epidemic waves, and the relationship between spatial pattern formation and chemical instability. These advanced models will show why PDEs have vast application in t
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Test von Semicustom-Schaltungen,ost mathematical models, Maxwell’s equations are based on experiment and physical observations. In general, a mathematical model is a simplified description, or caricature, of physical reality expressed in mathematical terms. Mathematical modeling involves physical observation, selection of the rele
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https://doi.org/10.1007/978-3-662-33033-3dary value problem for .(.) is a Sturm-Liouville problem and will, in fact, have infinitely many solutions; consequently, we will have infinitely many product solutions . (., .), .(., .), … that satisfy the boundary conditions. One can then superimpose these solutions, or add them up in a special wa
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