Jean Le Rand D'Alambert Reduction Method (update:22-06-07)
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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
Zitieren als
Ali OZGUL (2024). 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. Abgerufen .
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Inspiriert von: Differential Algebraic Equation Solvers, Generalized Linear Differential Operator Commutator, Differential Quadrature Matrix
Inspiriert: First-Order Degree Linear Differential Equations (Integration factor Ig=x^a*y^b) (Update: 23-06-07), Non-homogeneous and linear-differential-equation solutions (update:13-07-07)
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Version | Veröffentlicht | Versionshinweise | |
---|---|---|---|
1.0.0.0 | updated new examples |