Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method

被引：13

作者：

Anakira, Nidal Ratib ^{[1
]}

Jameel, Ali ^{[2
]}

Alomari, Abedel-Karrem ^{[3
]}

Saaban, Azizan ^{[2
]}

Almahameed, Mohammad ^{[1
]}

Hashim, Ishak ^{[4
]}

机构：

[1] Irbid Natl Univ, Dept Math, Fac Sci & Technol, Irbid 2600, Jordan

[2] Univ Utara Malaysia, Sch Quantitat Sci, Kedah 06010, Sintok, Malaysia

[3] Yarmouk Univ, Fac Sci, Dept Math, Irbid 21163, Jordan

[4] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi Selangor 43600, Malaysia

来源：

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES | 2018年 / 50卷 / 03期

关键词：

approximate solutions; multistage optimal homotopy asymptotic method (MOHAM); optimal homotopy asymptotic method (OHAM); pantograph equation; series solution;

D O I：

10.5614/j.math.fund.sci.2018.50.3.1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides accurate convergent approximate solutions of the exact solution using only one term. A comparative study between the proposed method, the homotopy perturbation method (HPM) and the Taylor matrix method are presented. The obtained results revealed that the method is of higher accuracy, effective and easy to use.

引用

页码：221 / 232

页数：12

共 50 条

[21] Approximate Solution of Multi-Pantograph Equations With Variable Coefficients via Collocation Method Based on Hermite Polynomials
Lu, Dianchen
Yuan, Chen
Mehdi, Rabia
Jabeen, Shamoona
Rashid, Abdur
[J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04): : 601 - 614
[22] SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE
Huang, Qiumei
Xie, Hehu
Brunner, Hermann
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 33 (05): : 2664 - 2684
[23] On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method
D. Vogt
[J]. Journal of Mathematical Chemistry, 2013, 51 : 826 - 842
[24] On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method
Vogt, D.
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 51 (03) : 826 - 842
[25] Solving neutral delay differential equations of pantograph type by using multistep block method
Seong, Hoo Yann
Majid, Zanariah Abdul
[J]. 2015 INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS (ICREM7), 2015, : 56 - 60
[26] Solving Delay Differential Equations of Pantograph Type Using Predictor-Corrector Method
Seong, Hoo Yann
Majid, Zanariah Abdul
[J]. INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2014 (ICOMEIA 2014), 2015, 1660
[27] Solution of the Differential-Difference Equations by Optimal Homotopy Asymptotic Method
Ullah, H.
Islam, S.
Idrees, M.
Fiza, M.
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[28] Solution of System of Ordinary Differential Equations by Optimal Homotopy Asymptotic Method
Anakira, Nidal
[J]. SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019), 2019, 2096
[29] Approximate Closed-Form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method
Ene, Remus-Daniel
Pop, Nicolina
Lapadat, Marioara
Dungan, Luisa
[J]. MATHEMATICS, 2022, 10 (21)
[30] Approximate Solutions For Fractional Delay Differential Equations By Using Sumudu Transform Method
Abd AL-Hussein, Wurood R.
Al-Azzawi, Saad N.
[J]. SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019), 2019, 2096

← 1 2 3 4 5 →