THE DISCRETE HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD FOR SOLVING PARTIAL DIFFERENCE EQUATIONS

FIGEN OEZPINAR; FETHI BIN MUHAMMAD BELGACEM

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THE DISCRETE HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD FOR SOLVING PARTIAL DIFFERENCE EQUATIONS

机译：求解局部差分方程的离散同型扰动Sumudu变换方法

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摘要

In this paper, we introduce a combined form of the discrete Sumudu transform method with the discrete homotopy perturbation method to solve linear and nonlinear partial difference equations. This method is called the discrete homotopy perturbation Sumudu transform method(DHPSTM). The results reveal that the introduced method is very efficient, simple and can be applied to other linear and nonlinear difference equations. The nonlinear terms can be easily handled by use of He's polynomials.

机译：在本文中，我们利用离散的同型扰动方法引入了离散的Sumudu变换方法的组合形式，以解决线性和非线性偏差方程。该方法称为离散同型扰动Sumudu变换方法（DHPSTM）。结果表明，介绍的方法非常有效，简单，可以应用于其他线性和非线性差分方程。可以通过使用他的多项式来容易地处理非线性术语。

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《Discrete and continuous dynamical systems▼hSeries S》 |2019年第3期|615-624|共10页
作者
FIGEN OEZPINAR; FETHI BIN MUHAMMAD BELGACEM;
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作者单位

Bolvadin Vocational School Afyon Kocatepe University Afyonkarahisar Turkey;

Department of Mathematics Faculty of Basic Education PAAET Al-Ardhiya Kuwait;

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正文语种 eng
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关键词
Discrete homotopy perturbation Sumudu transform method; discrete homotopy perturbation method; homotopy perturbation method; discrete sumudu transform method; Sumudu transform method; partial difference equations;

机译：离散同型扰动Sumudu变换方法;离散同型扰动方法;同型扰动方法;离散Sumudu变换方法;Sumudu变换方法;部分差差方程式;

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专利

1. The Homotopy Perturbation Sumudu Transform Method For Solving The Nonlinear Partial Differential Equations [J] . HANAN M. ABED RAHMAN WSEAS Transactions on Mathematics . 2017,第Pta2期

机译：用于求解非线性偏微分方程的同型扰动Sumudu变换方法
2. Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations [J] . Amjad Ezoo Hamza, Tarig M. Elzaki American Journal of Theoretical and Applied Statistics . 2015,第6期

机译：同伦摄动和Sumudu变换方法在Burgers方程求解中的应用
3. Nonlinear fractional partial differential equations systems solutions through a hybrid homotopy perturbation Sumudu transform method [J] . Kamal Ait Touchent, Fethi Bin Muhammad Belgacem Nonlinear studies . 2015,第4期

机译：混合同伦摄动Sumudu变换法求解非线性分数阶偏微分方程系统的方法。
4. Application of Homotopy Perturbation Sumudu Transform Method to Linear and Nonlinear Schrodinger Equations [C] . Zeynep Fidan Kocak, Dilara Altan Koc International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：同型扰动Sumudu变换方法在线性和非线性Schrodinger方程的应用
5. Solving the partial differential equation of vibrations with interval parameters using the interval finite difference method . [D] . Medina, Brenda G. 2011

机译：用区间有限差分法求解区间参数的振动偏微分方程。
6. Homotopy perturbation method with Laplace Transform (LT-HPM) for solving Lane–Emden type differential equations (LETDEs) [O] . Rajnee Tripathi, Hradyesh Kumar Mishra -1

机译：拉普拉斯变换（LT-HPM）的同伦摄动方法求解Lane-Emden型微分方程（LETDEs）
7. Application of Homotopy Perturbation Sumudu Transform Method for Solving Nonlinear Fractional Heat-like Equations [O] . Mohamed Meabed Khader 2017

机译：同型扰动Sumudu变换方法求解非线性分数热像等方程的应用

THE DISCRETE HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD FOR SOLVING PARTIAL DIFFERENCE EQUATIONS

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