## Applied Partial Differential Equations
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 (e.g., the heat equation, the wave equation, and Laplace’s equation) and methods for solving those equations on unbounded and bounded domains (transform methods and eigenfunction expansions). Prerequisites include multivariable calculus and elementary differential equations. 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. The many exercises help students sharpen their computational skills by encouraging them to think about concepts and derivations. The student who reads this book carefully and solves most of the problems will have a sound knowledge base for a second-year partial differential equations course where careful proofs are constructed or for upper division courses in science and engineering where detailed applications of partial differential equations are introduced. To give this text an even wider appeal, the second edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences that have been added throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book. |

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### Contents

The Physical Origins of Partial Differential Equations | ix |

12 Conservation Laws | 5 |

13 Diffusion | 12 |

14 PDE Models in Biology | 18 |

15 Vibrations and Acoustics | 28 |

16 Quantum Mechanics | 35 |

17 Heat Flow in Three Dimensions | 38 |

18 Laplaces Equation | 43 |

33 Classical Fourier Series | 103 |

34 SturmLiouville Problems | 108 |

Partial Differential Equations on Bounded Domains | 117 |

42 Flux and Radiation Conditions | 125 |

43 Laplaces Equation | 132 |

44 Cooling of a Sphere | 139 |

45 Diffusion in a Disk | 144 |

46 Sources on Bounded Domains | 148 |

19 Classification of PDEs | 48 |

Partial Differential Equations on Unbounded Domains | 54 |

22 Cauchy Problem for the Wave Equation | 60 |

23 IllPosed Problems | 65 |

24 SemiInfinite Domains | 68 |

25 Sources and Duhamels Principle | 72 |

26 Laplace Transforms | 77 |

27 Fourier Transforms | 82 |

28 Solving PDEs Using Computer Algebra Systems | 88 |

Orthogonal Expansions | 92 |

32 Orthogonal Expansions | 94 |

47 Parameter Identification Problems | 152 |

48 Finite Difference Methods | 157 |

Partial Differential Equations in the Life Sciences | 168 |

52 Traveling Waves Fronts | 177 |

53 Equilibria and Stability | 183 |

Ordinary Differential Equations | 193 |

TABLE OF LAPLACE TRANSFORMS | 199 |

References | 201 |

Index | 203 |

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### References from web pages

University of Western Ontario Applied Mathematics 315a Partial **...**

Applied Partial Differential Equations by Logan, J. David. Series: Undergraduate Texts in Mathematics, 2nd ed., 2004, XII, 212 p. 40 illus., Soft-cover, ...

www.apmaths.uwo.ca/ Outlines_2007-08/ AM315a.pdf

MATH 418 Partial Differential Equations

Haberman, Richard, Elementary Applied Partial Differential Equations with ... Trim, Donald W., Applied Partial Differential Equations, PWS-Kent, 1990. ...

math.calpoly.edu/ courseoutlines/ 418.pdf

Mathematics 5440 Introduction to Partial Differential Equations **...**

Elementary Applied Partial Differential Equations, Pren-. tice Hall, Upper Saddle River, NJ, 1998. (More elementary.) 6. F. John: Partial Differential ...

www.math.utah.edu/ ~schmitt/ pde5440-07.pdf

livre applied partial differential equations, (undergraduate texts **...**

livre 2 ordm cycle et maths appliquees a la physique : this textbook is for the standard, one-semester, junior-senior course that often goes by the title ...

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JSTOR: Featured Review: PDE Books, Present and Future

Applied Partial Differential Equations. By J. Ockendon, S. Howison, ..... [6] P. DUCHATEAU AND D. ZACHMANN, Applied Partial Differential Equations, ...

links.jstor.org/ sici?sici=0036-1445(200009)42%3A3%3C515%3AFRPBPA%3E2.0.CO%3B2-C

SFU Math 418-3: pdes, Fall 2002

R. Haberman, Elementary Applied Partial Differential Equations : with Fourier ... jd Logan, Applied Partial Differential Equations, Springer-Verlag (1998). ...

www.math.sfu.ca/ ~ralfw/ math418f02/ index.html

Syllabus for MATH 603 Title : Methods of Applied Mathematics II **...**

J. David Logan, Applied Partial Differential Equations, Springer, 1988. Peter V. O'Neil,. Beginning Partial Differential Equations, Wiley, X999. ...

www.mengr.tamu.edu/ Academics/ GraduateProgram/ Documentation/ MATH603.pdf

Lehrbüchersammlung

jd Logan (2004), Applied Partial Differential Equations, Springer Berlin, (0-387-20935-2). kk Sobczyk, dj (2001), Stochastic Modeling of Microstructures,

www.asim-gi.org/ index.php?id=260

Solutions Manual - alt.math.undergrad | **Google** Groups

Applied Partial Differential Equations, 4th Ed - Haberman > Applied Partial Differential Equations, Chapters 1-5 - Logan ...

groups.google.co.ls/ group/ alt.math.undergrad/ msg/ fbcaaaa53025bda3

Tmecca : Applied Partial Differential Equations by Logan, J. David **...**

Applied Partial Differential Equations. 정가, 47900원. 판매가, 47900원 + 수수료 (0% DC). 적립금, 900(2%). ISBN10, 0387209530. ISBN13, 9780387209531 ...

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