Traveling Wave Analysis of Partial Differential Equations [Elektronisk resurs] Numerical and Analytical Methods with Matlab and Maple.

• Front Cover; Traveling Wave Analysis of Partial Differential Equations; Copyright; Dedication; Table of Contents; Preface; Chapter 1. Introduction to Traveling Wave Analysis; Traveling Wave Solutions; Residual Function Solutions; References; Chapter 2. Linear Advection Equation; Smooth Solutions; Solutions with Sharp Gradients or Discontinuities; Appendix; References; Chapter 3. Linear Diffusion Equation; Reference; Chapter 4. A Linear Convection Diffusion Reaction Equation; Reference; Chapter 5. Diffusion Equation with Nonlinear Source Terms; Appendix 1; Appendix 2; References. 
• Chapter 6. Burgers-Huxley EquationAppendix; References; Chapter 7. Burgers-Fisher Equation; Appendix; Reference; Chapter 8. Fisher-Kolmogorov Equation; Appendix; References; Chapter 9. Fitzhugh-Nagumo Equation; Appendix; References; Chapter 10. Kolmogorov-Petrovskii-Piskunov Equation; Appendix; References; Chapter 11. Kuramoto-Sivashinsky Equation; Appendix; References; Chapter 12. Kawahara Equation; Appendix 1; Appendix 2; References; Chapter 13. Regularized Long Wave Equation; Appendix; References; Chapter 14. Extended Bernoulli Equation; Appendix; References. 
• Chapter 15. Hyperbolic Liouville EquationAppendix; References; Chapter 16. Sine-Gordon Equation; Appendix; References; Chapter 17. Mth-Order Klein-Gordon Equation; Appendix; References; Chapter 18. Boussinesq Equation; Appendix; References; Chapter 19. Modified Wave Equation; Appendix; Reference; Appendix: Analytical Solution Methods for Traveling Wave Problems; A.1 Introduction; A.2 Tanh Method; A.3 Exp Method; A.4 Riccati Equation Method; A.5 Direct Integration; A.6 Factorization; A.7 Additional Solutions by Addition of Arbitrary Constants; A.8 Other Methods. 
• A.9 Maple Built-In Procedure TWSolutionsReferences; Index. 

• Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by p 

Ämnesord

Differential equations, Partial. 

Maple (Computer file). 

MATLAB. 

Numerical analysis -- Computer programs. 

Genre

Electronic books.  (LCSH)

Klassifikation

QA374 (LCC)

515.353 (DDC)

Tdcbbb (kssb/8 (machine generated))