Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems

被引：0

作者：

Chuiko S.M. ^{[1
,2
]}

Chuiko O.S. ^{[1
]}

Popov M.V. ^{[3
]}

机构：

[1] Donbas State Pedagogic University, Donetsk Region, Slov’yans’k

[2] Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg

[3] Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Dobrovol’skyi Str., 1, Slov’yans’k

来源：

Journal of Mathematical Sciences | 2023年 / 277卷 / 2期

关键词：

D O I：

10.1007/s10958-023-06837-9

中图分类号：

学科分类号：

摘要：

For the nonlinear periodic boundary-value problem posed for an ordinary differential equation in the critical and noncritical cases, we obtain constructive conditions of its solvability and propose a scheme for finding its solutions by using the Adomian decomposition method. © 2023, Springer Nature Switzerland AG.

引用

页码：338 / 351

页数：13

共 50 条

[41] A BOUNDARY-VALUE METHOD FOR A CLASS OF NONLINEAR SINGULAR PERTURBATION PROBLEMS
KADALBAJOO, MK
REDDY, YN
COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1988, 4 (04): : 587 - 594
[42] ANALOG SOLUTIONS OF NONLINEAR BOUNDARY-VALUE PROBLEMS BY CONTINUATION METHOD
WASSERSTROM, E
KIRSZENBLAT, A
IEEE TRANSACTIONS ON COMPUTERS, 1973, C-22 (11) : 966 - 970
[43] Degenerate nonlinear boundary-value problems
O. A. Boichuk
L. M. Shehda
Ukrainian Mathematical Journal, 2009, 61 : 1387 - 1403
[44] QUASILINEARIZATION AND NONLINEAR BOUNDARY-VALUE PROBLEMS
TEICHMAN.T
PHYSICS TODAY, 1966, 19 (04) : 98 - &
[45] COUNTEREXAMPLE IN NONLINEAR BOUNDARY-VALUE PROBLEMS
HEIDEL, JW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 34 (01) : 133 - +
[46] QUASILINEARIZATION AND NONLINEAR BOUNDARY-VALUE PROBLEMS
DHONDT, T
BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1977, 63 (01): : 22 - 33
[47] SOME NONLINEAR BOUNDARY-VALUE PROBLEMS
KUIPER, HJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A151 - A151
[48] A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
Duan, Jun-Sheng
Rach, Randolph
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4090 - 4118
[49] ITERATION METHOD TO SOLVE SPECIAL NONLINEAR BOUNDARY-VALUE PROBLEMS
WACKER, H
COMPUTING, 1972, 9 (04) : 275 - 291
[50] Fractal quintic spline method for nonlinear boundary-value problems
Balasubramani, N.
Prasad, M. Guru Prem
Natesan, S.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (06): : 1885 - 1903

← 1 2 3 4 5 →