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

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