Approximate methods and computer realization

Approximate methods and computer realization

Differential, difference and fractional differential equations

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The main aim of the book is suggesting and application in an appropriate computer environment of some approximate methods for solving different types of differential equations such as differential equations with a special type of delay, difference equations and Caputo fractional differential equations. The main characteristic of these methods is the approximate obtaining of the exact solution as a limit of monotonic sequences of successive approximations. The suggested methods are based on the application of upper and lower solutions to the studied problems. Several algorithms are theoreticall...