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sci / sci.math.symbolic / Re: Fyi, new version of the independent CAS tests for differential equations.

SubjectAuthor
* Fyi, new version of the independent CAS tests for differential equations.Nasser M. Abbasi
+* Re: Fyi, new version of the independent CAS tests for differentialequations.clicliclic@freenet.de
|`- Re: Fyi, new version of the independent CAS tests for differentialequations.Nasser M. Abbasi
`* Re: Fyi, new version of the independent CAS tests for differential equations.Dr Huang (DrHuang.com)
 `* Re: Fyi, new version of the independent CAS tests for differential equations.Nasser M. Abbasi
  `- Re: Fyi, new version of the independent CAS tests for differential equations.Dr Huang (DrHuang.com)

1
Subject: Fyi, new version of the independent CAS tests for differential equations.
From: Nasser M. Abbasi
Newsgroups: sci.math.symbolic
Organization: A noiseless patient Spider
Date: Fri, 6 Oct 2023 07:06 UTC
Path: eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: nma@12000.org (Nasser M. Abbasi)
Newsgroups: sci.math.symbolic
Subject: Fyi, new version of the independent CAS tests for differential
equations.
Date: Fri, 6 Oct 2023 02:06:27 -0500
Organization: A noiseless patient Spider
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Fyi;

An updated report comparing Maple's and Mathematica's for solving
differential equations is available. This version contains 10,997 ode
up from 10,258 from last year. 59 Textbooks are used. These include
E. Kamke, 3rd and George Moseley Murphy books.

https://12000.org/my_notes/CAS_ode_tests/index.htm

Both Maple and Mathematica improved their performace of % solved compared
to last year's. More statistics are given above.

Number of odes: 10,997 (Oct. 2023)
==================================
Maple 2023.1: 94.689%
Mathematica 13.3.1: 93.362%

Number of odes: 10,258 (December 2023)
=======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

Number of odes: 10,044 (November 2022)
======================================
Maple 2022.2: 94.454%
Mathematica 13.1: 93.260%

--Nasser

Subject: Re: Fyi, new version of the independent CAS tests for differentialequations.
From: clicliclic@freenet.d
Newsgroups: sci.math.symbolic
Organization: Killfiles, Unlimited
Date: Fri, 6 Oct 2023 17:00 UTC
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From: nobody@nowhere.invalid (clicliclic@freenet.de)
Newsgroups: sci.math.symbolic
Subject: Re: Fyi, new version of the independent CAS tests for
differentialequations.
Date: Fri, 06 Oct 2023 19:00:07 +0200
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"Nasser M. Abbasi" schrieb:
>
> Fyi;
>
> [...]
>
> Number of odes: 10,258 (December 2023)
> =======================================
> Maple 2022.2: 94.532%
> Mathematica 13.2: 93.264%
>

December 2023: Have you tunneled through a relativistic wormhole?

Martin.

Subject: Re: Fyi, new version of the independent CAS tests for differentialequations.
From: Nasser M. Abbasi
Newsgroups: sci.math.symbolic
Organization: A noiseless patient Spider
Date: Sat, 7 Oct 2023 00:10 UTC
References: 1 2
Path: eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: nma@12000.org (Nasser M. Abbasi)
Newsgroups: sci.math.symbolic
Subject: Re: Fyi, new version of the independent CAS tests for
differentialequations.
Date: Fri, 6 Oct 2023 19:10:46 -0500
Organization: A noiseless patient Spider
Lines: 38
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On 10/6/2023 12:00 PM, clicliclic@freenet.de wrote:
>

Opps, sorry about the typo. Here is corrected date

Number of odes: 10,997 (Oct. 2023)
==================================
Maple 2023.1: 94.689%
Mathematica 13.3.1: 93.362%

Number of odes: 10,258 (December 2022)
=======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

Number of odes: 10,044 (November 2022)
======================================
Maple 2022.2: 94.454%
Mathematica 13.1: 93.260%

For run-time performance, this is the result for current tests

Maple 2023.1
=============
mean time(sec) 0.138
mean-leaf size 330
total time 25 minutes

Mathematica 13.3.1
===================
mean time(sec) 3.895
mean-leaf size 771
total time 713 minutes

Any bugs/problems/question please let me know so I can correct it.

--Nasser

Subject: Re: Fyi, new version of the independent CAS tests for differential equations.
From: Dr Huang (DrHuang.co
Newsgroups: sci.math.symbolic
Date: Sat, 7 Oct 2023 00:14 UTC
References: 1
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Subject: Re: Fyi, new version of the independent CAS tests for differential equations.
From: drhuang57@gmail.com (Dr Huang (DrHuang.com))
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On Friday, 6 October 2023 at 18:06:32 UTC+11, Nasser M. Abbasi wrote:
> Fyi;
>
> An updated report comparing Maple's and Mathematica's for solving
> differential equations is available. This version contains 10,997 ode
> up from 10,258 from last year. 59 Textbooks are used. These include
> E. Kamke, 3rd and George Moseley Murphy books.
>
> https://12000.org/my_notes/CAS_ode_tests/index.htm
>
> Both Maple and Mathematica improved their performace of % solved compared
> to last year's. More statistics are given above.
>
> Number of odes: 10,997 (Oct. 2023)
> ==================================
> Maple 2023.1: 94.689%
> Mathematica 13.3.1: 93.362%
>
>
> Number of odes: 10,258 (December 2023)
> =======================================
> Maple 2022.2: 94.532%
> Mathematica 13.2: 93.264%
>
> Number of odes: 10,044 (November 2022)
> ======================================
> Maple 2022.2: 94.454%
> Mathematica 13.1: 93.260%
>
> --Nasser
where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
Internal problem ID [119]

------------------------------------
MathHandbook.com

Subject: Re: Fyi, new version of the independent CAS tests for differential equations.
From: Nasser M. Abbasi
Newsgroups: sci.math.symbolic
Organization: A noiseless patient Spider
Date: Sat, 7 Oct 2023 00:24 UTC
References: 1 2
Path: eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: nma@12000.org (Nasser M. Abbasi)
Newsgroups: sci.math.symbolic
Subject: Re: Fyi, new version of the independent CAS tests for differential
equations.
Date: Fri, 6 Oct 2023 19:24:26 -0500
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> where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
> Internal problem ID [119]
>

The 11,000 problems now are just listed on the pages you see. I do not
have them listed in separate plain text in one file. They are in an
internal database. One day, I will make a list in plain text file
to download.

Problem ID [119] is

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.6, Substitution methods and exact equations. Page 74

2*x/y(x)-3*y(x)^2/x^4+(-x^2/y(x)^2+1/y(x)^(1/2)+2*y(x)/x^3)*diff(y(x),x) = 0

This is solved by Maple. But Mathematica did not solve it for some reason.

DSolve[2*x/y[x]-3*y[x]^2/x^4+(-x^2/y[x]^2+1/y[x]^(1/2)+2*y[x]/x^3)*y'[x]==0,y[x],x]

> ------------------------------------
> MathHandbook.com

--Nasser

Subject: Re: Fyi, new version of the independent CAS tests for differential equations.
From: Dr Huang (DrHuang.co
Newsgroups: sci.math.symbolic
Date: Sun, 8 Oct 2023 22:11 UTC
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Subject: Re: Fyi, new version of the independent CAS tests for differential equations.
From: drhuang57@gmail.com (Dr Huang (DrHuang.com))
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On Saturday, 7 October 2023 at 11:24:31 UTC+11, Nasser M. Abbasi wrote:
> > where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
> > Internal problem ID [119]
> >
> The 11,000 problems now are just listed on the pages you see. I do not
> have them listed in separate plain text in one file. They are in an
> internal database. One day, I will make a list in plain text file
> to download.
If you can publish your list in separate plain text, I can test more, as 1012 problems of Differential Equations were tested with WolframAlpha and MathHandbook.com online.
http://DrHuang.com/index/tests/
https://server.DrHuang.com/index/tests/

> Problem ID [119] is
>
> Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
> Section: Section 1.6, Substitution methods and exact equations. Page 74
>
> 2*x/y(x)-3*y(x)^2/x^4+(-x^2/y(x)^2+1/y(x)^(1/2)+2*y(x)/x^3)*diff(y(x),x) = 0
>
> This is solved by Maple. But Mathematica did not solve it for some reason.
>
> DSolve[2*x/y[x]-3*y[x]^2/x^4+(-x^2/y[x]^2+1/y[x]^(1/2)+2*y[x]/x^3)*y'[x]==0,y[x],x]
>
>
> > ------------------------------------
> > MathHandbook.com
>
> --Nasser

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