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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Marinca, Bogdan
Marinca, Vasile
Herisanu, Nicolae

Hardcover

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3030756521
ISBN13: 9783030756529
Publisher: Springer Nature
Published: Jul 15 2021
Pages: 479
Weight: 1.91
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English

This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of optimal auxiliary functions which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made.

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