Using the Kamal decomposition method for solving nonlinear partial differential equations

被引：0

作者：

Abood, Dhifaf A. ^{[1
]}

Muslim, Hadeel O. ^{[2
]}

Fakhir, Atyaf S. ^{[3
]}

机构：

[1] Middle Tech Univ, Dept Control & Automat Tech Engn, Baghdad, Iraq

[2] Diyala Univ, Dept Math, Diyala, Iraq

[3] Gen Directorate Educ Thi Qar, Dept Math, Thi Qar, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2025年 / 28卷 / 3A期

关键词：

Exact solution; Integral; Partial differential equation; Transformation;

D O I：

10.47974/JIM-2027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This survey, prepare a new techniques through coupled integral transform (IT) as Kamal integral transformation(KIT) with Adomian decomposition method (ADM)in which assigned Kamal Decomposition Method(KDM).This technique is attractive and useful to confirmed the exact solution (ES) by using simple steps of procedure obtained from produce primary of (KIT) and derivion (KDM) for solving nonlinear partial differential equations (NPDEs) is the perfect results acquired. Also to understand (KDM) presented (ES) through equip applications show that effective techniques.

引用

页码：917 / 922

页数：6

共 13 条

[1]

Abdelilah K., 2017, Adv. Theor. Appl. Math, V1, P7

[2] The solution of coupled Burgers' equations using Adomian-Pade technique [J].

Dehghan, Mehdi ;

Hamidi, Asgar ;

Shakourifar, Mohammad .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) :1034-1047

[3] A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations [J].

Hasan, Yahya Qaid ;

Zhu, Liu Ming .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) :3261-3265

[4] An aftertreatment technique for improving the accuracy of Adomian's decomposition method [J].

Jiao, YC ;

Yamamoto, Y ;

Dang, C ;

Hao, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (6-7) :783-798

[5]

Kamal H., 2016, ADV THEOR APPL MATH, V11, P451

[6]

Khandelwal R, 2018, International Journal of Statistics and Applied Mathematics, V3, P279

[7]

Rawashdeh M., 2014, INT J PURE APPL MATH, V92, P757, DOI DOI 10.12732/IJPAM.V92I5.10

[8]

Spiegel M.R., 1965, Schaum's Outline of Theory and Problems of Laplace Transforms

[9]

Taha N, 2017, British Journal of Applied Science & Technology, V20, P1, DOI 10.9734/bjast/2017/32380

[10]

Tarig M. E., 2009, J. Sci. Technol., P214

← 1 2 →