Analytical Methods Differential Equations (255 results)

Hardback. Condition: Good. Partial differential equations (PDEs) are essential for modelling many physical phenomena. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.…

Paperback or Softback. Condition: New. Exam Prep for Partial Differential Equations: Analytical and Numerical Methods by Gockenbach, 1st Ed. Book.

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Paperback. Condition: new. Paperback. This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. …

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Soft cover. Condition: New. 2nd Edition. Contents: Preface. 1. Classification of Differential Equations. 2. Models in One Dimension. 3. Essential Linear Algebra. 4. Essential Ordinary Differential Equations. 5. Boundary Value Problems in Statics. 6. Heat Flow and Diffusion. 7. Waves. 8. First-Order PDEs and the Method of Characteristics. 9. Green s Functions. 10. Sturm Liouville Eigenvalue Problems. 11. Problems in Multiple Spatial Dimensions. 12. More about Fourier Series. 13. More about Finite Element Methods. Appendices. Bibliography. Index. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis. Additional features of this new edition include: broader coverage of PDE methods and applications, with new chapters on the method of characteristics, Sturm Liouville problems, and Green's functions, a new section on the finite difference method for the wave equation; emphasis on linear algebra, particularly the idea of best approximation; realistic physical parameters and meaningful experiments for many of the examples and exercises; tutorials for the most popular software (MATLAB , Mathematica , and Maple ) that can be used to reproduce the examples and solve the exercises. The author continues to emphasize Fourier series and finite element methods, which were the primary scope of the first edition. This book is written for undergraduate courses usually titled Introduction to Partial Differential Equations or Fourier Series and Boundary Value Problems. (jacket).…

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Hardback or Cased Book. Condition: New. Partial Differential Equations with Applications: Analytical Methods. Book.

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Hardcover. Condition: Very Good. Includes CD. This book is in very good condition; no remainder marks. It does have some cover shelfwear. Inside pages are clean. ; 12 x 10 x 3 inches; 636 pages.

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Condition: New. 1st ed. 2023 edition NO-PA16APR2015-KAP.

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