Examples for the use of BVPh 1.0

Chapter 8: Nonlinear BVPs with multiple solutions

8.3.1 Nonlinear diffusion-reaction model

8.3.2 A nonlinear three-point boundary-value problem

8.3.3 Channel flows with multiple solutions

Chapter 9: Nonlinear eigen-value problems

9.3.1 Non-uniform beam acted by axial load

9.3.2 Gelfand equation

9.3.3 Eigen-value equation with singularity and varying coefficients

9.3.4 Multipoint boundary-value problem with multiple solutions

9.3.5 Orr-Sommerfeld stability equation with complex coefficient

Chapter 10: Exponentially and algebraically decaying boundary-layer flows

10.2 The unique exponentially decaying solution

10.3 An infinite number of algebraically decaying solutions

Chapter 11: Non-similarity boundary-layer flow

Chapter 12: Unsteady similarity boundary-layer flow

Related Book:

Liao, S.J.: Homotopy Analysis Method in Nonlinear Differential Equations. Higher Education Press & Springer, Beijing and Heidelberg, 2012.