Solving Nonlinear Partial Differential Equations with Maple and Mathematica
Shingareva, Inna, Lizárraga-Celaya, Carlos
2011, XIII, 357 p.
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Presents different approaches for solving nonlinear PDEs and systems
Contains numerous examples and comparisons
Explores the use of two computer algebra systems, Maple and Mathematica, enables comparisons between various types of solutions and approaches
Presented in a concise and tutorial programming style of Maple and Mathematica that helps readers understand and solve nonlinear PDEs and many other differential equations
The emphasis of this work is on constructing different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject
Content Level »Research
Keywords »CAS - Computer Algebra System - Maple and Mathematica - Nonlinear Partial Differential Equations - PDE