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Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Publisher: 
Springer
Number of Pages: 
357
Price: 
124.00
ISBN: 
9783709105160
Date Received: 
Friday, August 19, 2011
Reviewable: 
Yes
Include In BLL Rating: 
No
Reviewer Email Address: 
Inna Shingareva and Carlos Lizárraga-Celaya
Publication Date: 
2011
Format: 
Hardcover
Category: 
Textbook

1 Introduction 1.1 Basic Concepts 2 Algebraic Approach 2.1 Point Transformations 2.2 Contact Transformations 2.3 Transformations Relating Differential Equations 2.4 Linearizing and Bilinearizing Transformations 2.5 Reductions of Nonlinear PDEs 2.6 Separation of Variables 2.7 Transformation Groups 2.8 Nonlinear Systems 3 Geometric-Qualitative Approach 3.1 Method of Characteristics 3.2 Generalized Method of Characteristics 3.3 Qualitative Analysis 4 General Analytical Approach. Integrability 4.1 Painlevé Test and Integrability 4.2 Complete Integrability. Evolution Equations 4.3 Nonlinear Systems. Integrability Conditions 5 Approximate Analytical Approach 5.1 Adomian Decomposition Method 5.2 Asymptotic Expansions. Perturbation Methods 6 Numerical Approach 6.1 Embedded Numerical Methods 6.2 Finite DifferenceMethods 7 Analytical-Numerical Approach 7.1 Method of Lines 7.2 Spectral Collocation Method;  A Brief Description of Maple A.1 Introduction A.2 Basic Concepts A.3 Maple Language B Brief Description of Mathematica B.1 Introduction B.2 Basic Concepts B.3 Mathematica Language; References, Index

Publish Book: 
Modify Date: 
Friday, August 19, 2011

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