Green's Function Method for Ordinary Differential Equations

• Fouad A Zein Elarab

  Department of Mathematics, Faculty of Science , Omar Al-Mukhtar University. Al-Bayda

  Author

• Abdassalam B Aldaikh

  Department of Mathematics, Faculty of Science , Omar Al-Mukhtar University. Al-Bayda

  Author

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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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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