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Jean Le Rand D'Alambert Reduction Method (update:22-06-07)

version 1.0.0.0 (182 KB) by Ali OZGUL
Reduction method

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Updated 22 Jun 2007

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In this Matlab application was perused Jean Le Rand D'Alambert's** Reduction Method for two degree of linear differential equations and several analytical examples are compared with matlab solution applications.

**Jean d'Alembert was a a French mathematician who was a pioneer in the study of differential equations and their use of in physics. He studied the equilibrium and motion of fluids (1717-1783).

Example reduction method;

[Analytical problem]
y'' - 4xy' + [4x^2-2]y = 0 and equation's is know one solution
y1(x)=exp(x^2)

[Matlab application]
Dalambert(1,-4*x,(4*x^2-2),exp(x^2),1)

In this zip archive;
Example1.pdf (matlab&analytical sol.)
Example2.pdf (analytical solution)
Example3.pdf (analytical solution)
Readme.html (several examples,Matlab)
Damalbert.m (sub function)
Example.m (func. runing module)

[References]
[1] Differential equations,PhD.Frank Ayres, Schaum's outline series and McGraw-Hill Company ,1998

[2] Mathematical handbook of formulas and tables,PhD. Murray R. Spiegel, PhD. John Liu, Second edition,McGraw-Hill book company,2001,ISBN:0-07-038203-4

[3] Differansiyel denklemler,Yrd.Doç.Dr. A.Neþe Dernek, Doç.Dr.Ahmet,Dernek, Marmara university,Deniz book publisher,Istanbul,1995

Cite As

Ali OZGUL (2021). Jean Le Rand D'Alambert Reduction Method (update:22-06-07) (https://www.mathworks.com/matlabcentral/fileexchange/15385-jean-le-rand-d-alambert-reduction-method-update-22-06-07), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (2)

mis spell

Note that even the title of the submission has two misspells: "Jean Le ROnd d'AlEmbert"!

Dimitri Shvorob

'Lineer Differantial'?'Symoblic'? I don't expect much from a contributor who doesn't bother to use spell-check. Despite evident effort, the HTML report is shoddy and difficult to understand. Is all the FPRINTFed output necessary? What toolboxes are needed? (The code invokes SYMS and MAPLE, for example).

MATLAB Release Compatibility
Created with R13SP1
Compatible with any release
Platform Compatibility
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