The modified decomposition method for eighth-order boundary value problems

被引：21

作者：

Mestrovic, Mladen ^{[1
]}

机构：

[1] Univ Zagreb, Fac Civil Engn, Zagreb 10000, Croatia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 188卷 / 02期

关键词：

eighth-order BVP; adomian decomposition method;

D O I：

10.1016/j.amc.2006.11.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modified Adomian decomposition method is developed for the numerical solution of eighth-order boundary value problems (BVPs). The calculated numerical results show reliability and efficiency of the algorithm given. The numerical procedure is tested on linear and nonlinear problems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1437 / 1444

页数：8

共 50 条

[21] Least-Squares Solutions of Eighth-Order Boundary Value Problems Using the Theory of Functional Connections
Johnston, Hunter
Leake, Carl
Mortari, Daniele
[J]. MATHEMATICS, 2020, 8 (03)
[22] Differential quadrature solutions of eighth-order boundary-value differential equations
Liu, GR
Wu, TY
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (01) : 223 - 235
[23] The numerical solution of sixth-order boundary value problems by the modified decomposition method
Wazwaz, AM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 118 (2-3) : 311 - 325
[24] A P-stable eighth-order method for the numerical integration of periodic initial-value problems
Simos, TE
Tsitouras, C
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 130 (01) : 123 - 128
[25] Modified Ostrowski's method with eighth-order convergence and high efficiency index
Wang, Xia
Liu, Liping
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (05) : 549 - 554
[26] A Modified Adomian Decomposition Method for Solving Higher-Order Singular Boundary Value Problems
Kim, Weonbae
Chun, Changbum
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1093 - 1100
[27] The numerical solution of special fourth-order boundary value problems by the modified decomposition method
Wazwaz, AM
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (03) : 345 - 356
[28] ACCELERATED HALLEY METHOD WITH EIGHTH-ORDER CONVERGENCE
Chen, M.
Chang, T. S.
[J]. APPLIED AND COMPUTATIONAL MATHEMATICS, 2014, 13 (01) : 55 - 61
[29] Nonic spline solutions of eighth order boundary value problems
Akram, Ghazala
Siddiqi, Shahid S.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) : 829 - 845
[30] Adomian decomposition method for solution of fourteenth order boundary value problems
Khalid, Aasma
Naeem, Muhammad Nawaz
Jamal, Neelam
Askar, Sameh
Ahmad, Hijaz
[J]. OPEN PHYSICS, 2023, 21 (01):

← 1 2 3 4 5 →