The Improved Residual Power Series Method For Boundary Value Problems

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The Improved Residual Power Series Method For Boundary Value Problems
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Author : Abdullah Dawar
language : en
Publisher: CRC Press
Release Date : 2025-05-26
The Improved Residual Power Series Method For Boundary Value Problems written by Abdullah Dawar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-26 with Mathematics categories.
This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs). Unlike traditional numerical and analytical techniques, IRPSM offers quick convergence and minimal computational time, avoiding the pitfalls of round- off errors, linearization, perturbation, and discretization. This innovative approach has been rigorously compared with existing methods, demonstrating superior accuracy and efficiency. The book is meant for scholars, researchers, and students in mathematics, engineering, and physics. This book: Explores the application of IRPSM to a wide range of problems, including ordinary and partial differential equations, multi- point BVPs, and complex systems in physics and engineering Highlights IRPSM for its ability to efficiently handle highly nonlinear and complex boundary value problems, providing accurate solutions with reduced computational effort Demonstrates the method’s applicability across disciplines such as fluid dynamics and engineering Provides Mathematica codes for each solved problem, allowing readers to understand the solution procedure and implement IRPSM in their own research Offers a new and efficient method for solving BVPs and a practical reference for those seeking to minimize computational time and error in their work.
Approximation Methods And Analytical Modeling Using Partial Differential Equations
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Author : Tamara Fastovska
language : en
Publisher: Frontiers Media SA
Release Date : 2025-03-28
Approximation Methods And Analytical Modeling Using Partial Differential Equations written by Tamara Fastovska and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-28 with Science categories.
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can be comprehensively analyzed by a broad spectrum of available mathematical methods. For example, compartmental models are widely used in mathematical epidemiology to describe the dynamics of infectious diseases and in mathematical models of population genetics. While the existence of an optimal solution under certain condition can be often proved rigorously, this does not always mean that such a solution is easy to implement in practice. Finding a reasonable approximation can in itself be a challenging research problem. This Research Topic is devoted to modeling, analysis, and approximation problems whose solutions exploit and explore the theory of partial differential equations. It aims to highlight new analytical tools for use in the modeling of problems arising in applied sciences and practical areas. Researchers are invited to submit articles that investigate the qualitative behavior of weak solutions (removability conditions for singularities), the dependence of the local asymptotic property of these solutions on initial and boundary data, and also the existence of solutions. Contributors are particularly encouraged to focus on anisotropic models: analyzing the preconditions on the strength of the anisotropy, and comparing the analytical estimates for the growth behavior of the solutions near the singularities with the observed growth in numerical simulations. The qualitative analysis and analytical results should be confirmed by the numerically observed solution behavior.
Fuzzy Differential Equations In Various Approaches
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Author : Luciana Takata Gomes
language : en
Publisher: Springer
Release Date : 2015-09-07
Fuzzy Differential Equations In Various Approaches written by Luciana Takata Gomes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-07 with Mathematics categories.
This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.
Finite Element Methods
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Author : Michel Krizek
language : en
Publisher: Routledge
Release Date : 2017-11-22
Finite Element Methods written by Michel Krizek and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Sustainable And Safe Dams Around The World Un Monde De Barrages Durables Et S Curitaires
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Author : Jean-Pierre Tournier
language : en
Publisher: CRC Press
Release Date : 2019-08-08
Sustainable And Safe Dams Around The World Un Monde De Barrages Durables Et S Curitaires written by Jean-Pierre Tournier and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Technology & Engineering categories.
These proceedings include digital media with the full conference papers (3600+ pages). Sustainable and Safe Dams Around the World contains the contributions presented at the 2019 Symposium of the International Commission on Large Dams (ICOLD 2019, Ottawa, Canada, 9-14 June 2019). The main topics of the book include: 1. Innovation (recent advancements and techniques for investigations, design, construction, operation and maintenance of water or tailings dams and spillways) 2. Sustainable Development (planning, design, construction, operation, decommissioning and closure management strategies for water resources or tailings dams, e.g. climate change, sedimentation, environmental protection, risk management). 3. Hazards (design mitigation and management of hazards to water or tailings dams, appurtenant structures, spillways and reservoirs (e.g. floods, seismic, landslides). 4. Extreme Conditions (management for water or tailings dams (e.g. permafrost and ice loading, arid/wet climates, geo-hazards). 5. Tailings (design, construction, operation and closure for tailings dams; recent advancements and best practice) Sustainable and Safe Dams Around the World will be invaluable to academics and professionals interested or involved in dams. Un monde de barrages durables et sécuritaires contiennent les contributions présentées lors du symposium de 2019 de la Commission internationale des grands barrages (CIGB 2019, Ottawa, Canada, 9-14 juin 2019). Les principaux sujets du livre incluent: 1. Innovation (Avancées et techniques récentes pour l’investigation, la conception, la construction, l’exploitation et l’entretien de barrages hydrauliques, de barrages de stériles et d’évacuateurs de crues) 2. Développement durable (stratégies de gestion pour la planification, la conception, la construction, l’exploitation, la mise hors service et la fermeture de barrages hydrauliques ou des barrages de stériles, par exemple, changement climatique, sédimentation, protection de l’environnement, gestion des risques). 3. Risques (mesures d’atténuation et gestion des risques liés aux barrages hydrauliques et barrages de stériles, aux ouvrages annexes, aux évacuateurs de crues et aux réservoirs, par exemple, inondations, tremblements de terre, glissements de terrain). 4. Environnement extrême (gestion des barrages hydrauliques et barrages de stériles, par exemple, pergélisol et charge de glace, climats secs / humides, géorisques). 5. Barrages de stériles (conception, construction, exploitation et fermeture des barrages de stériles; avancées récentes et meilleures pratiques). Un monde de barrages durables et sécuritaires seront d'une valeur inestimable pour les universitaires et les professionnels intéressés ou impliqués dans les barrages.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1966
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mechanics, Applied categories.
Elementary Differential Equations With Boundary Value Problems
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Author : William F. Trench
language : en
Publisher: Thomson Brooks/Cole
Release Date : 2001
Elementary Differential Equations With Boundary Value Problems written by William F. Trench and has been published by Thomson Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1993
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Aeronautics categories.
Topics In Modal Analysis Ii Volume 8
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Author : Randall Allemang
language : en
Publisher: Springer
Release Date : 2014-05-05
Topics In Modal Analysis Ii Volume 8 written by Randall Allemang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Technology & Engineering categories.
This eighth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data
Applied Numerical Analysis
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Author : Curtis F. Gerald
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1994
Applied Numerical Analysis written by Curtis F. Gerald and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis. New sections discuss the use of computer algebra systems such as Mathematica, Maple and DERIVE facilitate the integration of technology in the course.