Solving nth-order integro-differential equations by novel generalized hybrid transform

被引：1

作者：

Khan, Sana Ullah ^{[1
]}

Khan, Asif ^{[1
]}

Ullah, Aman ^{[1
]}

Ahmad, Shabir ^{[1
]}

Awwad, Fuad A. ^{[2
]}

Ismail, Emad A. A. ^{[2
]}

Maitama, Shehu ^{[3
]}

Umar, Huzaifa ^{[4
]}

Ahmad, Hijaz ^{[4
,5
,6
]}

机构：

[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] King Saud Univ, Dept Quantitat Anal, Coll Business Adm, POB 71115, Riyadh 11587, Saudi Arabia

[3] Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China

[4] Near East Univ, Operat Res Ctr Healthcare, TRNC Mersin 10, TR-99138 Nicosia, Turkiye

[5] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[6] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 03期

关键词：

Integro-differential equations; Shehu transform; Integral transforms; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; PHYSICS;

D O I：

10.29020/nybg.ejpam.v16i3.4840

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Shehu has introduced an integral transform called Shehu transform, which generalizes the two well-known integrals transforms, i.e. Laplace and Sumudu transform. In the literature, many integral transforms were used to compute the solution of integro-differential equations (IDEs). In this article, for the first time, we use Shehu transform for the computation of solution of n(th)-order IDEs. We present a general scheme of solution for n(th)-order IDEs. We give some examples with detailed solutions to show the appropriateness of the method. We present the accuracy, simplicity, and convergence of the proposed method through tables and graphs.

引用

页码：1940 / 1955

页数：16

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