Differential Equations

Solving Ordinary and Partial Differential Equations with Mathematica(r)

By:

Marian Muresan

Format:

Paperback / softback

Series:

de Gruyter Textbook

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Description

The book concerns with solving about 650 ordinary and partial differential equations. Each equation has at least one solution and each solution has at least one coloured graph. The coloured graphs reveal different features of the solutions. Some graphs are dynamical as for Clairaut differential equations. Thus, one can study the general and the singular solutions. All the equations are solved by Mathematica. The first chapter contains mathematical notions and results that are used later through the book. Thus, the book is self-contained that is an advantage for the reader. The ordinary differential equations are treated in Chapters 2 to 4, while the partial differential equations are discussed in Chapters 5 to 10. The book is useful for undergraduate and graduate students, for researchers in engineering, physics, chemistry, and others. Chapter 9 treats parabolic partial differential equations while Chapter 10 treats third and higher order nonlinear partial differential equations, both with modern methods. Chapter 10 discusses the Korteweg-de Vries, Dodd-Bullough-Mikhailov, Tzitzeica-Dodd-Bullough, Benjamin, Kadomtsev-Petviashvili, Sawada-Kotera, and Kaup-Kupershmidt equations.

Author Biography:

Marian Mureşan, G. DIMA street, 15, ap. 25, Cluj-Napoca, 400335, ROMANIA E-mail: mmarianus24@yahoo.com, marian.muresan@ubbcluj.ro Work address: Faculty of Mathematics and Computer Science, Babeş-Bolyai University M. Kogălniceanu st. 1, 400084 Cluj-Napoca, ROMANIA Phone: (+40-)264-405300 ext. 5244, Mobil: (+40-)743-130380 Marian Muresan, Babes-Bolyai University, Cluj-Napoca, Romania.

Release date NZ

May 24th, 2024

Author

Marian Muresan

Audience

General (US: Trade)

Illustrations

12 Tables, black and white; 129 Illustrations, color; 307 Illustrations, black and white

Pages

482

Series

de Gruyter Textbook

ISBN-13

9783111411095

Product ID

38633583

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