Conjugate gradient method for the solution of optimal control problems governed by weakly singular Volterra integral equations with the use of the collocation method

Henry Ekah-Kunde (Autor)

Buch | Softcover

28 Seiten

2017 | 17001 A. 1. Auflage
GRIN Verlag
978-3-668-49416-9 (ISBN)

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Seminar paper from the year 2015 in the subject Mathematics - Applied Mathematics, grade: A, , language: English, abstract: In this research, a novel method to approximate the solution of optimal control problems governed by Volterra integral equations of weakly singular types is proposed. The method introduced here is the conjugate gradient method with a discretization of the problem based on the collocation approach on graded mesh points for non linear Volterra integral equations with singular kernels. Necessary and sufficient optimality conditions for optimal control problems are also discussed. Some examples are presented to demonstrate the efficiency of the method.

Erscheinungsdatum	12.08.2017
Sprache	englisch
Maße	148 x 210 mm
Gewicht	55 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Schlagworte	Collocation method • Collocationmethod • conjugategradientmethod • Conjugate Gradient Method • Mathematik • Nachschlagewerke • numerical method • numericalmethod • optimal control problem • optimalcontrolproblem • Volterra integral equation • Volterraintegralequation
ISBN-10	3-668-49416-9 / 3668494169
ISBN-13	978-3-668-49416-9 / 9783668494169
Zustand	Neuware