Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method

被引：33

作者：

Ahmed, Shams A. ^{[1
,2
]}

Qazza, Ahmad ^{[3
]}

Saadeh, Rania ^{[3
]}

机构：

[1] Jouf Univ, Fac Sci & Arts, Dept Mathemat, Tubarjal 74756, Saudi Arabia

[2] Univ Gezira, Dept Math, Wad Madani 21111, Sudan

[3] Zarqa Univ, Dept Math, Zarqa 13110, Jordan

来源：

AXIOMS | 2022年 / 11卷 / 06期

关键词：

double Laplace-Sumudu transform; single Laplace transform; single Sumudu transform; new iterative method; nonlinear partial differential equations; 5TH-ORDER KDV EQUATION; EXPLICIT;

D O I：

10.3390/axioms11060247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article demonstrates how the new Double Laplace-Sumudu transform (DLST) is successfully implemented in combination with the iterative method to obtain the exact solutions of nonlinear partial differential equations (NLPDEs) by considering specified conditions. The solutions of nonlinear terms of these equations were determined by using the successive iterative procedure. The proposed technique has the advantage of generating exact solutions, and it is easy to apply analytically on the given problems. In addition, the theorems handling the mode properties of the DLST have been proved. To prove the usability and effectiveness of this method, examples have been given. The results show that the presented method holds promise for solving other types of NLPDEs.

引用

页数：16

共 44 条

[1] A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS [J].

ADOMIAN, G .

MATHEMATICAL AND COMPUTER MODELLING, 1990, 13 (07) :17-43

[2] Nonlinear dissipative wave equations [J].

Adomian, G .

APPLIED MATHEMATICS LETTERS, 1998, 11 (03) :125-126

[3]

Ahmed S.A., 2021, Abstract and Applied Analysis, P1

[4] Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform) [J].

Ahmed, Shams A. ;

Elzaki, Tarig M. ;

Elbadri, Mohamed ;

Mohamed, Mohamed Z. .

AIN SHAMS ENGINEERING JOURNAL, 2021, 12 (04) :4045-4049

[5]

AL-Jawary M., 2015, INT J ADV SCI TECHNO, V3, P531

[6]

Al-Jawary M.A., 2018, ARAB J BASIC APPL SC, V25, P20

[7]

Al-Luhaibi Mohamed S, 2015, ScientificWorldJournal, V2015, P153124, DOI 10.1155/2015/153124

[8] Solution of nonlinear problems by a new analytical technique using Daftardar-Gejji and Jafari polynomials [J].

Ali, Liaqat ;

Islam, Saeed ;

Gul, Taza ;

Amiri, Iraj Sadegh .

ADVANCES IN MECHANICAL ENGINEERING, 2019, 11 (12)

[9] A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects [J].

Baleanu, D. ;

Abadi, M. Hassan ;

Jajarmi, A. ;

Vahid, K. Zarghami ;

Nieto, J. J. .

ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (06) :4779-4791

[10] On a new and generalized fractional model for a real cholera outbreak [J].

Baleanu, Dumitru ;

Ghassabzade, Fahimeh Akhavan ;

Nieto, Juan J. ;

Jajarmi, Amin .

ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (11) :9175-9186

← 1 2 3 4 5 →