ABSTRACT

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers.

The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations.

Included for nearly every method are:

  • The types of equations to which the method is applicable
  • The idea behind the method
  • The procedure for carrying out the method
  • At least one simple example of the method
  • Any cautions that should be exercised
  • Notes for more advanced users

The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.

chapter I.A|94 pages

Definitions and Concepts

chapter I.B|34 pages

Transformations

chapter II|22 pages

Exact Analytical Methods

chapter II.A|152 pages

Exact Methods for ODEs

chapter II.B|68 pages

Exact Methods for PDEs

chapter III|106 pages

Approximate Analytical Methods

chapter IV.A|26 pages

Numerical Methods: Concepts

chapter IV.B|68 pages

Numerical Methods for ODEs

chapter IV.C|42 pages

Numerical Methods for PDEs

chapter V|26 pages

Computer Languages and Systems