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duxiu/initial_release/12866729.zip
线性与非线性积分方程,方法及应用 英文
(美)佤斯瓦茨著, Abdul-Majid Wazwaz[著, 佤斯瓦茨, Wa Si Wa Ci
北京:高等教育出版社, 2011, 2011
3 (p1): PartI Linear Integral Equations 3 (p2): 1 Preliminaries 4 (p3): 1.1 Taylor Series 7 (p4): 1.2 Ordinary Differential Equations 7 (p5): 1.2.1 First Order Linear Differential Equations 9 (p6): 1.2.2 Second Order Linear Differential Equations 13 (p7): 1.2.3 The Series Solution Method 17 (p8): 1.3 Leibnitz Rule for Differentiation of Integrals 19 (p9): 1.4 Reducing Multiple Integrals to Single Integrals 22 (p10): 1.5 Laplace Transform 23 (p11): 1.5.1 Properties of Laplace Transforms 28 (p12): 1.6 Infinite Geometric Series 30 (p13): References 33 (p14): 2 Introductory Concepts of Integral Equations 34 (p15): 2.1 Classification of Integral Equations 34 (p16): 2.1.1 Fredholm Integral Equations 35 (p17): 2.1.2 Volterra Integral Equations 35 (p18): 2.1.3 Volterra-Fredholm Integral Equations 36 (p19): 2.1.4 Singular Integral Equations 37 (p20): 2.2 Classification of Integro-Differential Equations 38 (p21): 2.2.1 Fredholm Integro-Differential Equations 38 (p22): 2.2.2 Volterra Integro-Differential Equations 39 (p23): 2.2.3 Volterra-Fredholm Integro-Differential Equations 40 (p24): 2.3 Linearity and Homogeneity 40 (p25): 2.3.1 Linearity Concept 41 (p26): 2.3.2 Homogeneity Concept 42 (p27): 2.4 Origins of Integral Equations 42 (p28): 2.5 Converting IVP to Volterra Integral Equation 47 (p29): 2.5.1 Converting Volterra Integral Equation to IVP 49 (p30): 2.6 Converting BVP to Fredholm Integral Equation 54 (p31): 2.6.1 Converting Fredholm Integral Equation to BVP 59 (p32): 2.7 Solution of an Integral Equation 63 (p33): References 65 (p34): 3 Volterra Integral Equations 65 (p35): 3.1 Introduction 66 (p36): 3.2 Volterra Integral Equations of the Second Kind 66 (p37): 3.2.1 The Adomian Decomposition Method 73 (p38): 3.2.2 The Modified Decomposition Method 78 (p39): 3.2.3 The Noise Terms Phenomenon 82 (p40): 3.2.4 The...
更多信息……
英语 [en] · 中文 [zh] · PDF · 13.8MB · 2011 · 📗 未知类型的图书 · 🚀/duxiu/zlibzh ·
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base score: 11068.0, final score: 167461.31
lgli/Abdul-Majid Wazwaz - Linear and Nonlinear Integral Equations: Methods and Applications (springer).pdf
Linear and Nonlinear Integral Equations : Methods and Applications
by Abdul-Majid Wazwaz
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg, Springer Nature, Beijing, 2011
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
更多信息……
英语 [en] · PDF · 2.7MB · 2011 · 📘 非小说类图书 · 🚀/lgli/zlib ·
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base score: 11068.0, final score: 17477.703
upload/newsarch_ebooks_2025_10/2017/02/14/3642214487.pdf
Linear and Nonlinear Integral Equations : Methods and Applications
Abdul-Majid Wazwaz[著; 佤斯瓦茨
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg, 1st, First Edition, PS, 2011
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. ¡ This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and ¡graduate students in applied mathematics, science and engineering, and related fields. ¡ Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA. ¡ ¡
更多信息……
英语 [en] · PDF · 3.8MB · 2011 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/upload/zlib ·
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base score: 11065.0, final score: 17459.824
nexusstc/Linear and Nonlinear Integral Equations/d34e517f67ea5d8a69c6b259b30424f3.pdf
Linear and Nonlinear Integral Equations : Methods and Applications
Abdul-Majid Wazwaz[著; 佤斯瓦茨
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg, 1st, First Edition, PS, 2011
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. ¡ This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and ¡graduate students in applied mathematics, science and engineering, and related fields. ¡ Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA. ¡ ¡
更多信息……
英语 [en] · PDF · 3.9MB · 2011 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/zlib ·
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base score: 11065.0, final score: 17459.818
lgli/M_Mathematics/MC_Calculus/MCde_Differential equations/Wazwaz A.M. Linear and nonlinear integral equations (Springer, 2011)(ISBN 9783642214486)(O)(658s)_MCde_.pdf
Linear and Nonlinear Integral Equations : Methods and Applications
Abdul-Majid Wazwaz[著; 佤斯瓦茨
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg, 1st, First Edition, PS, 2011
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
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英语 [en] · PDF · 2.7MB · 2011 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/zlib ·
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