Geodesic
Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 122-132

Voir la notice de l'article provenant de la source Math-Net.Ru

Procedure of obtaining of the approximated analytical solutions for nonlinear ordinary differential equations of the first order is developed based on application of additional boundary conditions. The physical value of application of additional boundary conditions is found in solving the initial differential equation in the boundary points of a problem. Application of iterative method allows to solve this equation in the whole range of independent variable meanings and to receive analytical solutions of satisfactory accuracy by averaging the required unknown factors.
Keywords: nonlinear equations, additional boundary conditions, approximated analytical solutions. 
@article{VSGTU_2009_1_a13,
     author = {E. V. Stefanyuk and I. V. Kudinov and E. V. Largina},
     title = {Construction of the {Approximated} {Analytical} {Solutions} for {Nonlinear} {Ordinary} {Differential} {Equations} {Based} on {Application} of {Additional} {Boundary} {Conditions}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {122--132},
     publisher = {mathdoc},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a13/}
}
TY  - JOUR
AU  - E. V. Stefanyuk
AU  - I. V. Kudinov
AU  - E. V. Largina
TI  - Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2009
SP  - 122
EP  - 132
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a13/
LA  - ru
ID  - VSGTU_2009_1_a13
ER  - 
%0 Journal Article
%A E. V. Stefanyuk
%A I. V. Kudinov
%A E. V. Largina
%T Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2009
%P 122-132
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a13/
%G ru
%F VSGTU_2009_1_a13
E. V. Stefanyuk; I. V. Kudinov; E. V. Largina. Construction of the Approximated Analytical Solutions for Nonlinear Ordinary Differential Equations Based on Application of Additional Boundary Conditions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 122-132. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a13/