Green's Function Method for Ordinary Differential Equations

Authors

  • Fouad A Zein Elarab Department of Mathematics, Faculty of Science , Omar Al-Mukhtar University. Al-Bayda
  • Abdassalam B Aldaikh Department of Mathematics, Faculty of Science , Omar Al-Mukhtar University. Al-Bayda

DOI:

https://doi.org/10.54172/mjsc.v28i1.142

Keywords:

Generalized function, Dirac -function, Heaviside unit step function, Wronskian, differentiation under the integral sign

Abstract

The analytical solution of non homogeneous boundary value problem in the form: Lyx=fx          axb

                             B1ya=0 

                             B2yb=0

are obtained by using Green's function method. A worked problem is considered for illustration.

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References

Donald W. Trim (1992) Applied Partial Differential Equations. The University of Monitoba, PWS-KENT Publishing Company.

Frank Ayres Jr. (1972) Differential Equations. Schaum's Outline Series, McGraw-Hill, International Book Company, New York.

Glyn James (2004) Advanced Modern Engineering Mathematics. Pearson Education, England, 3rd edition.

Koshlyakov, N.S., Smirnov, M.M. and Gliner, E.B. (1964) Differential Equations of Mathematical Physics. Leningrad State University, Leningrad.

Michael D. Greenberg (1998) Advanced Engineering Mathematics. Prentice Hall, New Jersey, 2nd edition.

Riley, K.F., Hobson, M.P. and Bence, S.J. (2003) Mathematical Methods for Physics and Engineering. Cambridge University Press, 2nd edition.

Tyn Myint U. (1973) Partial Differential Equations of Mathematical Physics. American Elsevier Publishing Company, INC., New York.

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Published

2013-06-30

How to Cite

Zein Elarab, F. A., & Aldaikh, A. B. (2013). Green’s Function Method for Ordinary Differential Equations. Al-Mukhtar Journal of Sciences, 28(1), 29–39. https://doi.org/10.54172/mjsc.v28i1.142

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