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Homotopy Analysis Method in Nonlinear Differential Equations

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Cover of 'Homotopy Analysis Method in Nonlinear Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Basic Ideas of the Homotopy Analysis Method
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    Chapter 3 Optimal Homotopy Analysis Method
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    Chapter 4 Systematic Descriptions and Related Theorems
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    Chapter 5 Relationship to Euler Transform
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    Chapter 6 Some Methods Based on the HAM
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    Chapter 7 Mathematica Package BVPh
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    Chapter 8 Nonlinear Boundary-value Problems with Multiple Solutions
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    Chapter 9 Nonlinear Eigenvalue Equations with Varying Coefficients
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    Chapter 10 A Boundary-layer Flow with an Infinite Number of Solutions
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    Chapter 11 Non-similarity Boundary-layer Flows
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    Chapter 12 Unsteady Boundary-layer Flows
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    Chapter 13 Applications in Finance: American Put Options
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    Chapter 14 Two and Three Dimensional Gelfand Equation
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    Chapter 15 Interaction of Nonlinear Water Wave and Nonuniform Currents
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    Chapter 16 Resonance of Arbitrary Number of Periodic Traveling Water Waves
Attention for Chapter 2: Basic Ideas of the Homotopy Analysis Method
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