Method Of Separation Of Variables
Öz
Throughout this article I’ve been talking about and solving partial diferential equations, using the method of separition of variable.Verify that the partial differential equation is linear and homogeneous.One of the ordinary differential equations will be a boundary value problem determining the eigenvalues and eigenfunctions fort the problem
Kaynakça
- Abramowıtz, M., and Stegun, I.A., eds Handbook of Mathematical Functions.New York:Dover, 1965.
- Antman, S.S., “The equations for lange Vibrations of Strings. “Awer, Math.mounthly 87,88,359-370. 1980
- Bender, C.M., and Orszag, S.A. Advanced Mathematical Methods for Scientists and Engineers, New York: MCgrawltil, 1978
- Berg, P.W., and Mcgregor, J.L. Elementary pential Differential Equations. San Francisco:Holden-Day 1966
- Boyce, W.E., and Prima DI, R.C. Elementary Differential Equations and Boundary Value Problems.New York: Wiley 1977
- Churchıll, R.V., and Brown, J.W. Fourier Series and Bounddary Value Problems 3rd ed. New York: MCGrawnltil, 1978
- Courant, R., and Hıcbert, D. Methodsds of mathematical Physics, Vols.Lond2 New York:Wiley, 1953
- Duff, G.F.D., and Haylor, D. Differantial Equations of Applied mathematics.New York: Wiley, 1966
- Haberman, R. Mathematical Models:Mechanical Vibrations, Population Dynamics, and Traffic Flow.Englewood Cliffs, N.J.: Prentice-Hall 1977
- Hıldebrand, F.B. Advanced Calculus forApplications.2nd ed.Englewood Cliffs, N.J.: Prentice-Hall, 1976