Mathematica Package BVPh

Shijun Liao ()
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Shijun Liao: Shanghai Jiao Tong University

Chapter Chapter 7 in Homotopy Analysis Method in Nonlinear Differential Equations, 2012, pp 239-284 from Springer

Abstract: 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

Keywords: Initial Guess; Computer Algebra System; Linear Differential Operator; Chebyshev Series; Auxiliary Linear Operator (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25132-0_7

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DOI: 10.1007/978-3-642-25132-0_7

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