Shooting homotopy analysis method A fast method to find multiple solutions of nonlinear boundary value problems arising in fluid mechanics

Soltani L. Ahmad; Shivanian E.; Ezzati Reza

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Shooting homotopy analysis method A fast method to find multiple solutions of nonlinear boundary value problems arising in fluid mechanics

机译：射击同伦分析法一种快速找到流体力学中非线性边值问题的多重解的方法

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摘要

Purpose-The purpose of this paper is to present a new method based on the homotopy analysis method (HAM) with the aim of fast searching and calculating multiple solutions of nonlinear boundary value problems (NBVPs).

机译：目的-本文的目的是提出一种基于同构分析方法（HAM）的新方法，旨在快速搜索和计算非线性边值问题（NBVP）的多个解。

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来源
《Engineering Computations》 |2017年第2期|471-498|共28页
作者
Soltani L. Ahmad; Shivanian E.; Ezzati Reza;
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作者单位

Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran;

Imam Khomeini Int Univ, Dept Math, Qazvin, Iran;

Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Shooting method; Multiple solutions; Homotopy analysis method (HAM); Predictor homotopy analysis method (PHAM); Shooting homotopy analysis method (SHHAM);

机译：射击法;多种溶液;同伦分析法（HAM）;预测同型分析法（PHAM）;射击同型分析法（SHHAM）;

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专利

1. The homotopy analysis method for multiple solutions of nonlinear boundary value problems [J] . S. Abbasbandy, E. Magyari, E. Shivanian Communications in Nonlinear Science and Numerical Simulation . 2009,第9a10期

机译：非线性边值问题多重解的同伦分析方法
2. Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method [J] . Alomari A. K., Anakira N. Ratib, Hashim I. Advances in Mechanical Engineering . 2014,第Pta10期

机译：预测最优同伦渐近法的流体力学问题多重解
3. Predictor Homotopy Analysis Method (Pham) for Nano Boundary Layer Flows with Nonlinear Navier Boundary Condition: Existence of Four Solutions [J] . Elyas Shivanian, Hamed H. Alsulami, Mohammed S. Alhuthali, Filomat . 2014,第8期

机译：具有非线性Navier边界条件的纳米边界层流的预测同伦分析方法（Pham）：存在四个解
4. An improved form of optimal homotopy asymptotic method for the solution of a system of nonlinear coupled differential equations occurring in the phenomenon of fluid mechanics [C] . Liaqat Ali, Saeed Islam, Taza Gul International Conference of Numerical Analysis and Applied Mathematics . 2019

机译：一种改进形式的最佳同型渐近方法，用于解决流体力学现象中的非线性耦合微分方程系统的解决方案
5. A NUMERICAL SOLUTION TO A NONLINEAR WAVE PROBLEM USING BOUNDARY INTEGRAL EQUATION METHOD WITH ANALYSIS OF LIMIT CASES. [D] . LU, CHIA-CHI. 1985

机译：非线性波问题的边界积分法与极限情况分析的数值解。
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

机译：同伦摄动法和同伦分析法对Allen-Cahn方程的近似解析解
7. Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters [O] . M. M. Rashidi, E. Momoniat, B. Rostami 2012

机译：用两个辅助参数同伦分析法求解mHD边界层粘弹性流体在连续运动拉伸面上的流动解析解

Shooting homotopy analysis method A fast method to find multiple solutions of nonlinear boundary value problems arising in fluid mechanics

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