Matrix power series method for nonlinear problems of optimal regulator construction

2011 ◽  
Vol 72 (7) ◽  
pp. 1440-1449 ◽  
Author(s):  
V. I. Lovchakov ◽  
E. V. Lovchakov
Keyword(s):  
Power Series ◽  
Nonlinear Problems ◽  
Series Method ◽  
Power Series Method ◽  
Optimal Regulator ◽  
Matrix Power ◽  
Matrix Power Series

scholarly journals Solution of the Fractional Bratu-Type Equation Via Fractional Residual Power Series Method

2020 ◽  
Vol 76 (1) ◽  
pp. 127-142
Author(s):  
Ali Khalouta ◽  
Abdelouahab Kadem
Keyword(s):  
Power Series ◽  
Type Equation ◽  
Nonlinear Problems ◽  
Complete Agreement ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Wide Range ◽  
Residual Power Series ◽  
Residual Power

AbstractIn this paper, we present numerical solution for the fractional Bratu-type equation via fractional residual power series method (FRPSM). The fractional derivatives are described in Caputo sense. The main advantage of the FRPSM in comparison with the existing methods is that the method solves the nonlinear problems without using linearization, discretization, perturbation or any other restriction. Three numerical examples are given and the results are numerically and graphically compared with the exact solutions. The solutions obtained by the proposed method are in complete agreement with the solutions available in the literature. The results reveal that the FRPSM is a very effective, simple and efficient technique to handle a wide range of fractional differential equations.

A Power Series Method for Treating Mixed Boundary Value Problems

1978 ◽  
Vol 21 (1) ◽  
pp. 1-12
Author(s):  
J. W. CRAGGS ◽  
P. W. DUCK
Keyword(s):  
Power Series ◽  
Boundary Value Problems ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Series Method ◽  
Power Series Method ◽  
Mixed Boundary Value Problems

The Scope of the Power Series Method

2013 ◽  
Vol 86 (1) ◽  
pp. 56-62
Author(s):  
Richard Beals
Keyword(s):  
Power Series ◽  
Series Method ◽  
Power Series Method

scholarly journals The rate of convergence of a matrix power series

1981 ◽  
Vol 35 ◽  
pp. 261-278 ◽  
Author(s):  
N.J. Young
Keyword(s):  
Power Series ◽  
Rate Of Convergence ◽  
Matrix Power ◽  
Matrix Power Series

Soliton-shaped potentials and the generalized power-series method

1981 ◽  
Vol 5 (3) ◽  
pp. 169-175 ◽  
Author(s):  
M. Znojil
Keyword(s):  
Power Series ◽  
Series Method ◽  
Power Series Method ◽  
Generalized Power Series

A robust and efficient power series method for tracing PV curves

2015 ◽  
Author(s):  
Xiaoming Chen ◽  
David Bromberg ◽  
Xin Li ◽  
Lawrence Pileggi ◽  
Gabriela Hug
Keyword(s):  
Power Series ◽  
Series Method ◽  
Power Series Method ◽  
Efficient Power
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