2012

Homotopy Analysis Method in Nonlinear Differential Equations

Authors:

ISBN: 978-3-642-25131-3 (Print) 978-3-642-25132-0 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xv

  2. Basic Ideas and Theorems

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-14

      Introduction

    3. No Access

      Book Chapter

      Pages 15-94

      Basic Ideas of the Homotopy Analysis Method

    4. No Access

      Book Chapter

      Pages 95-129

      Optimal Homotopy Analysis Method

    5. No Access

      Book Chapter

      Pages 131-187

      Systematic Descriptions and Related Theorems

    6. No Access

      Book Chapter

      Pages 189-221

      Relationship to Euler Transform

    7. No Access

      Book Chapter

      Pages 223-235

      Some Methods Based on the HAM

  3. Mathematica Package BVPh and Its Applications

    1. Front Matter

      Pages 237-237

    2. No Access

      Book Chapter

      Pages 239-284

      Mathematica Package BVPh

    3. No Access

      Book Chapter

      Pages 285-314

      Nonlinear Boundary-value Problems with Multiple Solutions

    4. No Access

      Book Chapter

      Pages 315-361

      Nonlinear Eigenvalue Equations with Varying Coefficients

    5. No Access

      Book Chapter

      Pages 363-381

      A Boundary-layer Flow with an Infinite Number of Solutions

    6. No Access

      Book Chapter

      Pages 383-401

      Non-similarity Boundary-layer Flows

    7. No Access

      Book Chapter

      Pages 403-421

      Unsteady Boundary-layer Flows

  4. Applications in Nonlinear Partial Differential Equations

    1. Front Matter

      Pages 423-423

    2. No Access

      Book Chapter

      Pages 425-459

      Applications in Finance: American Put Options

    3. No Access

      Book Chapter

      Pages 461-491

      Two and Three Dimensional Gelfand Equation

    4. No Access

      Book Chapter

      Pages 493-522

      Interaction of Nonlinear Water Wave and Nonuniform Currents

    5. No Access

      Book Chapter

      Pages 523-562

      Resonance of Arbitrary Number of Periodic Traveling Water Waves

  5. Back Matter

    Pages 563-565