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Method Of Separation Of Variables

Year 2012, Volume: 2 Issue: 13, 39 - 53, 01.01.2012

Abstract

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

References

  • 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
  • Isaacson, E., and Keller, H.B.Analysis of numerical methods.New York:Wiley, 1981.
  • Sagan, H. Boundany and Eigen value Problems in Mathematical Physics. New York: Willey, 1961.
  • Smıth, G.D. Numerical Solwdion Of Partial Differantial. New York:Oxford University press, 1915
  • Strang,G. Linnar Alpebre and its Applications, 2nd ed. New York: Academic Press, 1980
  • Young, E.C. Partral Differantial Equations Bostoy:Allyy and Bacon, 1972
  • Zauderer, E. Partial Differautial Equatiouns of Appliet mathematics. New York:Wiley, 1983.
Year 2012, Volume: 2 Issue: 13, 39 - 53, 01.01.2012

Abstract

References

  • 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
  • Isaacson, E., and Keller, H.B.Analysis of numerical methods.New York:Wiley, 1981.
  • Sagan, H. Boundany and Eigen value Problems in Mathematical Physics. New York: Willey, 1961.
  • Smıth, G.D. Numerical Solwdion Of Partial Differantial. New York:Oxford University press, 1915
  • Strang,G. Linnar Alpebre and its Applications, 2nd ed. New York: Academic Press, 1980
  • Young, E.C. Partral Differantial Equations Bostoy:Allyy and Bacon, 1972
  • Zauderer, E. Partial Differautial Equatiouns of Appliet mathematics. New York:Wiley, 1983.
There are 16 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

M. Karakas This is me

Publication Date January 1, 2012
Published in Issue Year 2012 Volume: 2 Issue: 13

Cite

APA Karakas, M. (2012). Method Of Separation Of Variables. Manas Journal of Natural Sciences, 2(13), 39-53.
AMA Karakas M. Method Of Separation Of Variables. Manas Journal of Natural Sciences. January 2012;2(13):39-53.
Chicago Karakas, M. “Method Of Separation Of Variables”. Manas Journal of Natural Sciences 2, no. 13 (January 2012): 39-53.
EndNote Karakas M (January 1, 2012) Method Of Separation Of Variables. Manas Journal of Natural Sciences 2 13 39–53.
IEEE M. Karakas, “Method Of Separation Of Variables”, Manas Journal of Natural Sciences, vol. 2, no. 13, pp. 39–53, 2012.
ISNAD Karakas, M. “Method Of Separation Of Variables”. Manas Journal of Natural Sciences 2/13 (January 2012), 39-53.
JAMA Karakas M. Method Of Separation Of Variables. Manas Journal of Natural Sciences. 2012;2:39–53.
MLA Karakas, M. “Method Of Separation Of Variables”. Manas Journal of Natural Sciences, vol. 2, no. 13, 2012, pp. 39-53.
Vancouver Karakas M. Method Of Separation Of Variables. Manas Journal of Natural Sciences. 2012;2(13):39-53.