Differential Equations : Theory and Applications.

Detaylı Bibliyografya
Yazar: Borres, Maria Catherine
Materyal Türü: e-Kitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Ashland : Arcler Press, 2019.
Konular:
Differential equations.
Electronic books.
Online Erişim:Full-text access
İçindekiler:
  • Cover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion
  • Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example
  • 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods
  • 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index

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