Mathematica Package BVPh

作者: Shijun Liao

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

关键词:

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

参考文章(89)
Jing Zhao, Hoi Ying Wong, A Closed-Form Solution to American Options under General Diffusions Social Science Research Network. ,(2008) , 10.2139/SSRN.1158223
Martha Abell, James Braselton, Mathematica by Example ,(1992)
L. F. Shampine, I. Gladwell, S. Thompson, Solving ODEs with MATLAB Cambridge University Press. ,(2003) , 10.1017/CBO9780511615542
John P Boyd, Chebyshev and Fourier spectral methods Boyd. ,(2001)
Ram K. Pandey, Om.P. Singh, Vipul K. Baranwal, An analytic algorithm for the space–time fractional advection–dispersion equation Computer Physics Communications. ,vol. 182, pp. 1134- 1144 ,(2011) , 10.1016/J.CPC.2011.01.015
A. Shidfar, A. Molabahrami, A WEIGHTED ALGORITHM BASED ON THE HOMOTOPY ANALYSIS METHOD: APPLICATION TO INVERSE HEAT CONDUCTION PROBLEMS Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 2908- 2915 ,(2010) , 10.1016/J.CNSNS.2009.11.011