检索结果-南通市图书馆

Adomian Decomposition Method for Solving Goursat's Problems

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics 2011年第8期2卷 975-980页

作者： mariam A. al-mazmumy 不详

In this paper, Goursat’s problems for: linear and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on the characteristics curves are transformed in such a manner that the Adomian decomposition method (ADM) can be applied. Some examples with closed-form solutions are studied in detail to further illustrate the proposed technique, and the results obtained indicate this approach is indeed practical and efficient.

关键词： Goursat’s Problem Linear and Nonlinear Hyperbolic Equation of Second and Fourth-Orders System of Linear Hyperbolic Equations of Second Order Adomian Decomposition Method

Solution of Laguerre’s Differential Equations via Modified Adomian Decomposition Method

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2023年第1期11卷 85-100页

作者： mariam al-mazmumy Aishah A. alsulami Department of Mathematics Faculty of Science University of Jeddah Jeddah Saudi Arabia

This paper presents a technique for obtaining an exact solution for the well-known Laguerre’s differential equations that arise in the modeling of several phenomena in quantum mechanics and engineering. We utilize an efficient procedure based on the modified Adomian decomposition method to obtain closed-form solutions of the Laguerre’s and the associated Laguerre’s differential equations. The proposed technique makes sense as the attitudes of the acquired solutions towards the neighboring singular points are correctly taken care of.

关键词： Modification Method Singular Ordinary Differential Equations Laguerre’s Equation Associated Laguerre’s Equation

Restarted Adomian Decomposition Method for Solving Volterra’s Population Model

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

American Journal of Computational Mathematics 2017年第2期7卷 175-182页

作者： mariam al-mazmumy Safa Otyuan almuhalbedi Department of Mathematics Faculty of Science-AL Faisaliah King Abdulaziz University Jeddah KSA Department of Mathematics Faculty of Science King Abdulaziz University Jeddah KSA

In this paper, we used an efficient algorithm to obtain an analytic approximation for Volterra’s model for population growth of a species within a closed system, called the Restarted Adomian decomposition method (RAD... 详细信息

关键词： Adomian Decomposition Method Restarted Adomian Method Integro-Differential Equations Volterra’s Population Model

An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

American Journal of Computational Mathematics 2017年第1期7卷 84-93页

作者： mariam al-mazmumy Ahlam al-Mutairi Kholoud al-Zahrani Department of mathematics Faculty of Science-AL Faisaliah Campus King Abdulaziz University Jeddah KSA

The purpose of this paper is to employ the Adomian Decomposition Method (ADM) and Restarted Adomian Decomposition Method (RADM) with new useful techniques to resolve Bratu’s boundary value problem by using a new integral operator. The solutions obtained in this way require the use of the boundary conditions directly. The obtained results indicate that the new techniques give more suitable and accurate solutions for the Bratu-type problem, compared with those for the ADM and its modification.

关键词： Adomian Decomposition Method Restarted Adomian Method Bratu’s Boundary Value Problem

Efficient Decomposition Shooting Method for Solving Third-Order Boundary Value Problems

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Modern Nonlinear Theory and Application 2023年第3期12卷 81-98页

作者： Nawal al-Zaid Kholoud alzahrani Huda Bakodah mariam al-mazmumy Department of Mathematics Faculty of Science University of Jeddah Jeddah Saudi Arabia

The present paper proposes a mathematical method to numerically treat a class of third-order linear Boundary Value Problems (BVPs). This method is based on the combination of the Adomian Decomposition Method (ADM) and, the modified shooting method. A complete derivation of the proposed method has been provided, in addition to its numerical implementation and, validation via the utilization of the Runge-Kutta method and, other existing methods. The method has been applied to diverse test problems and turned out to perform remarkably. Lastly, the simulated numerical results have been graphically illustrated and, also supported by some absolute error comparison tables.

关键词： Linear Third Order BVPs Shooting Method Adomian Decomposition Method Two-Point Boundary Value Problem

On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

American Journal of Computational Mathematics 2023年第3期13卷 387-397页

作者： Aishah alsulami mariam al-mazmumy Huda Bakodah Nawal alzaid Department of Mathematics College of Science University of Jeddah Jeddah Saudi Arabia

The current manuscript makes use of the prominent iterative procedure, called the Adomian Decomposition Method (ADM), to tackle some important special differential equations. The equations of curiosity in this study are the singular equations that arise in many physical science applications. Thus, through the application of the ADM, a generalized recursive scheme was successfully derived and further utilized to obtain closed-form solutions for the models under consideration. The method is, indeed, fascinating as respective exact analytical solutions are accurately acquired with only a small number of iterations.

关键词： Iterative Scheme Adomian Decomposition Method Initial-Value Problems Singular Ordinary Differential Equations

Adomian Modification Methods for the Solution of Chebyshev’s Differential Equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics 2023年第8期14卷 512-530页

作者： mariam al mazmumy Aishah alsulami Huda Bakodah Nawal alzaid Department of Mathematics College of Science University of Jeddah Jeddah Saudi Arabia

The current study examines the important class of Chebyshev’s differential equations via the application of the efficient Adomian Decomposition Method (ADM) and its modifications. We have proved the effectiveness of the employed methods by acquiring exact analytical solutions for the governing equations in most cases;while minimal noisy error terms have been observed in a particular method modification. Above all, the presented approaches have rightly affirmed the exactitude of the available literature. More to the point, the application of this methodology could be extended to examine various forms of high-order differential equations, as approximate exact solutions are rapidly attained with less computation stress.

关键词： ADM Modifications Methods Chebyshev’s Differential Equations IVPs Series Solutions

Symmetries,optimal system,exact and soliton solutions of(3+1)-dimensional Gardner-KP equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2024年第2期9卷 178-190页

作者： Amjad Hussain Ashreen Anjum M.Junaid-U-Rehman Ilyas Khan mariam A.Sameh Amnah S.al-Johani Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics College of Science Al-ZulfiMajmaah UniversityAl-MajmaahP.O Box 66Majmaah 11952Saudi Arabia Electrical Engineering Department Faculty of Engineering and TechnologyFuture University in EgyptNew Cairo 11845Egypt Mathematics Department Faculty of ScienceUniversity of TabukTabukSaudi Arabia

In this research article,the(3+1)-dimensional nonlinear Gardner-Kadomtsov-Petviashvili(Gardner-KP)equation which depicts the nonlinear modulation of periodic waves,is analyzed through the Lie group-theoretic *** the Lie invariance condition,we find the symmetry *** pro-posed model yields eight-dimensional Lie ***,an optimal system of sub-algebras is com-puted,and similarity reductions are *** considered nonlinear partial differential equation is re-duced into ordinary differential equations(ODEs)by utilizing the similarity transformation method(STM),which has the benefit of yielding a large number of accurate traveling wave *** ODEs are further solved to get closed-form solutions of the Gardner-KP equation in some cases,while in other cases,we use the new auxiliary equation method to get its soliton *** evolution profiles of the obtained solutions are examined graphically under the appropriate selection of arbitrary parameters.

关键词： Gardner-KP equation Lie symmetry analysis Optimal system New auxiliary equation method Solitary wave solutions

Sunspot Group Detection and Classification by Dual Stream Convolutional Neural Network Method

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Research in Astronomy and Astrophysics 2024年第9期24卷 248-259页

作者： Nyasha mariam Mkwanda Weixin Tian Junlin Li Hubei Key Laboratory of Intelligent Vision Based Monitoring for Hydroelectric Engineering China Three Gorges UniversityYichang 443002China College of Computer and Information Technology China Three Gorges UniversityYichang 443002China

The automatic detection and analysis of sunspots play a crucial role in understanding solar dynamics and predicting space weather *** paper proposes a novel method for sunspot group detection and classification called the dual stream Convolutional Neural Network with Attention Mechanism(DSCNN-AM).The network consists of two parallel streams each processing different input data allowing for joint processing of spatial and temporal information while classifying *** takes in the white light images as well as the corresponding magnetic images that reveal both the optical and magnetic features of *** extracted features are then fused and processed by fully connected layers to perform detection and *** attention mechanism is further integrated to address the“edge dimming”problem which improves the model’s ability to handle sunspots near the edge of the solar *** network is trained and tested on the SOLAR-STORM1 data *** results demonstrate that the DSCNN-AM achieves superior performance compared to existing methods,with a total accuracy exceeding 90%.

关键词： Sun:magnetic fields Sun:flares (Sun:)sunspots DSCNN Attention mechanism Edge dimming