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Mathematica Package BVPh

In: Homotopy Analysis Method in Nonlinear Differential Equations

Author

Listed:
  • Shijun Liao

    (Shanghai Jiao Tong University)

Abstract

The BVPh (version 1.0) is a Mathematica package for highly nonlinear boundary-value/eigenvalue problems with singularity and/or multipoint boundary conditions. It is a combination of the homotopy analysis method (HAM) and the computer algebra system Mathematica, and provides us a convenient analytic tool to solve many nonlinear ordinary differential equations (ODEs) and even some nonlinear partial differential equations (PDEs). In this chapter, we briefly describe its scope, the basic mathematical formulas, and the choice of base functions, initial guess and the auxiliary linear operator, and so on, together with a simple users guide. As open resource, the BVPh 1.0 is given in the appendix of this chapter and free available (Accessed 25 Nov 2011, will be updated in the future) at http://numericaltank.sjtu.edu.cn/BVPh.htm

Suggested Citation

  • Shijun Liao, 2012. "Mathematica Package BVPh," Springer Books, in: Homotopy Analysis Method in Nonlinear Differential Equations, chapter 0, pages 239-284, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-25132-0_7
    DOI: 10.1007/978-3-642-25132-0_7
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