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Partial Differential Equations

Partial Differential Equations

          
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About the Book

This text gathers, revises and explains the newly developed Adomian decomposition method along with its modification and some traditional techniques.

Table of Contents:
1 Basic Concepts 1.1 Introduction 1. 2 Definitions 2 First Order PDE 2.1 Introduction 2.2 Adomian Decomposition Method 2.3 The Noise Terms Phenomenon 2.4 The Modified Decomposition 2.5 Method of Characteristics 2.6 Systems of Linear PDEs 3 One-Dimensional Heat Flow 3.1 Introduction 3.2 The Decomposition 3.3 of Separation of Variables 4 Higher Dimensional Heat Flow 4.1 Introduction 4.2 Adomian Decomposition 4.3 of Separation of Variables 5 One Dimensional Wave Equation 5.1 Introduction 5.2 Adomian Decomposition Method 5.3 Method of Separation of Variables 6 Higher Dimensional Wave Equation 6.1 Introduction 6.2 Adomian Decomposition Method 6.3 Method of Separation of Variables 7 Laplace's Equation 7.1 Introduction 7.2 Adomian Decomposition Method 7.3 Method of Separation of Variables 7.4 Laplace's Equation in Polar Coordinates 8 Nonlinear Equations 8.1 Introduction 8.2 Adomian Decomposition Method 8.3 Nonlinear Ordinary Equations 8.4 Nonlinear Partial Equations 8.5 Systems of Nonlinear PDEs 9 Physical Models 9.1 Introduction 9.2 The Nonlinear Advection Problem 9.3 The Goursat Problem 9.4 The Klein-Gm·don Equation 9.5 The Burgers' Equation . 9.6 The Telegraph Equation . . . . .. 9. 7 Schrodinger Equation 9.8 Korteweg-deVries Equation 9.9 Fourth Order Parabolic Equation 10 Numerical Applications 10.1 Introduction 10.2 Ordinary Differential Equations 10.3 Partial Differential Equations 10.4 The Pade Approximants 10.5 Boundary Value Problems 11 Solitons and Compactions 11.1 Introduction 11.2 Solutons 11.3 Compactions 11.4 The Defoeusing Braneh of K(n,n) A Indefinite Integrals A.1 Fundamental Forms A.2 Trigonometrie Forms A.3 Inverse Trigonometrie Forms A.4 Exponential and Logarithmie Forms A.5 Hyperbolie Forms A.6 Other Forms B Series B.1 Exponential Functions B.2 Trigonometrie Functions B.3 Inverse Trigonometrie Functions B.4 Hyperbolie Functions B.5 Inverse Hyperbolie Functions C Solutions of Burgers' Equation D Pade Approximants D.1 Exponential Fundions D.2 Trigonometrie Functions D.3 Hyperbolie Functions D.4 Logarithmie Functions E The Error and Ganuna Functions E.1 The Error function E.2 The Gamma function r(:r) ANSWERS.


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Product Details
  • ISBN-13: 9789058093691
  • Publisher: A A Balkema Publishers
  • Publisher Imprint: A A Balkema Publishers
  • Depth: 38
  • Language: English
  • Returnable: Y
  • Spine Width: 26 mm
  • Weight: 1043 gr
  • ISBN-10: 9058093697
  • Publisher Date: 01 Jan 2002
  • Binding: Hardback
  • Height: 246 mm
  • No of Pages: 474
  • Series Title: English
  • Sub Title: Methods and Applications
  • Width: 174 mm


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Partial Differential Equations
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