Convergence Analysis of Least Squares-Epsilon-Ritz Algorithm for Solving a General Class of Pantograph Equations
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 431
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In this paper, we propose an approximate method for solving a general class of pantograph differential equations. The proposed method is based on a combination of least squares, epsilon and Ritz methods. The convergence properties of the method are analyzed and discussed. Finally, several numerical examples are given to illustrate the applicability and efficiency of the method.
Classification :
65N30 35A24
Keywords: Epsilon method, Least squares method, Pantograph equations, Ritz method
Keywords: Epsilon method, Least squares method, Pantograph equations, Ritz method
@article{KJM_2018_42_3_a8,
author = {S. A. Yousefi and M. Noei Khorshidi and A. Lotfi},
title = {Convergence {Analysis} of {Least} {Squares-Epsilon-Ritz} {Algorithm} for {Solving} a {General} {Class} of {Pantograph} {Equations}},
journal = {Kragujevac Journal of Mathematics},
pages = {431 },
publisher = {mathdoc},
volume = {42},
number = {3},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a8/}
}
TY - JOUR AU - S. A. Yousefi AU - M. Noei Khorshidi AU - A. Lotfi TI - Convergence Analysis of Least Squares-Epsilon-Ritz Algorithm for Solving a General Class of Pantograph Equations JO - Kragujevac Journal of Mathematics PY - 2018 SP - 431 VL - 42 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a8/ LA - en ID - KJM_2018_42_3_a8 ER -
%0 Journal Article %A S. A. Yousefi %A M. Noei Khorshidi %A A. Lotfi %T Convergence Analysis of Least Squares-Epsilon-Ritz Algorithm for Solving a General Class of Pantograph Equations %J Kragujevac Journal of Mathematics %D 2018 %P 431 %V 42 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a8/ %G en %F KJM_2018_42_3_a8
S. A. Yousefi; M. Noei Khorshidi; A. Lotfi. Convergence Analysis of Least Squares-Epsilon-Ritz Algorithm for Solving a General Class of Pantograph Equations. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 431 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a8/