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align=center style='text-align:center'><span class=SpellE><b><span style='font-size:18.0pt'>Mathematica</span></b></span> <b><span style='font-size:18.0pt'>package <span class=SpellE>BVPh</span> 2.0</span></b></p> <p>&nbsp;</p> <p align=center style='text-align:center'><b><span style='font-size:18.0pt'><a href="BVPh2_0/UserGuideToBVPh2.0.pdf">User Guide To <span class=SpellE>BVPh</span> 2.0</a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a href="BVPh2_0/Copyright-BVPh.htm">Copyright Statement</a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <a href="BVPh2_0/ExamplesBVPh2_0.htm">Examples</a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><a href="http://numericaltank.sjtu.edu.cn/publicationHAM.htm"><b><span style='font-size:16.0pt'>Publications</span></b></a></p> <p align=center style='text-align:center'>&nbsp;<o:p></o:p></p> <p align=center style='text-align:center'><u9:shapetype id="_x0000_t75" coordsize="21600,21600" u10:spt="75" u10:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" 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style='text-indent:28.1pt'><span style='font-size:13.5pt'>The HAM-based <span class=SpellE>Mathematica</span> package <span class=SpellE>BVPh</span> 1.0 can only deal with BVPs of single ordinary differential equation (ODE); it cannot solve systems of ODEs. Now the newest version <span class=SpellE>BVPh</span> 2.0, can deal with many systems of coupled ordinary differential equations (ODEs) defined in finite and/or semi-infinite intervals. Besides, new algorithms are used in some modules of <span class=SpellE>BVPh</span> 2.0. Hence, <span class=SpellE>BVPh</span> 2.0 is much faster than <span class=SpellE>BVPh</span> 1.0 in most cases.<span style='mso-spacerun:yes'> </span>For more detail about BVPh 2.0, please refer to here [<a href="BVPh2_0/BVPh%202.0.pdf">PDF</a>]. </span></p> <p style='text-indent:28.1pt'><span style='font-size:13.5pt'>The package <span class=SpellE>BVPh</span> 2.0 is developed on <span class=SpellE>Mathematica</span> 7.0. As some new</span> <span style='font-size:13.5pt'>features of <span class=SpellE>Mathematica</span> 7.0 are used, we strongly recommend you to use the</span> <span class=SpellE><span style='font-size:13.5pt'>BVPh</span></span> <span style='font-size:13.5pt'>2.0 in <span class=SpellE>Mathematica</span> 7.0 or higher version, or it will not work.</span> </p> <p>&nbsp;</p> <p>&nbsp;</p> <p><b><span style='font-size:16.0pt'>Source Code:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></b><a href="BVPh2_0/BVPh2_0.zip"><span style='font-size:16.0pt'>Zip form of <span class=SpellE>BVPh</span> 2.0 (for <span class=SpellE>Mathematica</span> 7.0 or higher)</span></a></p> <p>&nbsp;</p> <p style='text-indent:.5in'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </p> <p><b><span style='font-size:16.0pt'>Input Data Files of Examples:</span></b></p> <p>&nbsp;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style='font-size:16.0pt'>Illustrative Example: </span></p> <p style='margin-left:1.0in;text-indent:.5in'><span style='font-size:16.0pt'><a href="BVPh2_0/Illustrative.zip">Illustrative Example</a> </span></p> <p>&nbsp;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style='font-size:16.0pt'>Example 1:</span></p> <p style='margin-left:1.0in;text-indent:.5in'><span style='font-size:16.0pt'><a href="BVPh2_0/Example1.zip">Example 1</a>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></p> <p>&nbsp;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style='font-size:16.0pt'>Example 2:</span></p> <p style='margin-left:1.0in;text-indent:.5in'><a href="BVPh2_0/Example2.zip"><span style='font-size:16.0pt'>Example 2</span></a></p> <p>&nbsp;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style='font-size:16.0pt'>Example 3:</span></p> <p style='margin-left:1.0in;text-indent:.5in'><a href="BVPh2_0/Example3.zip"><span style='font-size:16.0pt'>Example 3</span></a></p> <p>&nbsp;</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;<span style='font-size:16.0pt'>Example 4:</span></p> <p style='margin-left:1.0in;text-indent:.5in'><a href="BVPh2_0/Example4.zip"><span style='font-size:16.0pt'>Example 4</span></a></p> <p>&nbsp;</p> <p style='text-indent:31.7pt'><span style='font-size:16.0pt'>Example 5:</span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </p> <p style='margin-left:1.0in;text-indent:.5in'><a href="BVPh2_0/Example5.zip"><span style='font-size:16.0pt'>Example 5</span></a>&nbsp;</p> <p style='margin-top:5.0pt;margin-right:0in;margin-bottom:12.0pt;margin-left: 1.0in;text-indent:.5in'><o:p>&nbsp;</o:p></p> <p style='margin-top:5.0pt;margin-right:0in;margin-bottom:12.0pt;margin-left: 1.0in;text-indent:.5in'><o:p>&nbsp;</o:p></p> </div> </body> </html>