Curriculum Vitae
Name Salah El-din Helmy Abdalla Behiry.
Position Professor of Mathematics.
Address In Egypt: Mathematics and Engineering Physics Dept., Faculty of Engineering,
Mansoura University, Mansoura 35516, Egypt.
In K. S. A.:General Required Courses Dept., Jeddah Community College, King Abdulaziz University,
Jeddah 21589, Kingdom of Saudi Arabia
Telephone Bus.: +2 050 2244403, +966 22870026 Home : +2 050 2269595, +966 26757128 Cellular : +2 0122301808, +966 590676359
Fax +2 050 2244690, +966 2870024
E-mail [email protected], [email protected] Birth Date September 6, 1959.
Sex Male.
Nationality Egyptian.
Marital Status Married.
Specialization (Key words)
Mathematics, Differential Equations, Wavelets.
Education - B.Sc., in Mechanical Engineering, Mansoura University, 1982.
- M.Sc., in Engineering Mathematics, Mansoura, 1987.
- Ph. D., in Mathematics, Yarevan State University, 1992.
M.Sc. Title “Central and Non - Central Distributions of Some Test Criteria in Connection with Multivariate Hypothesis (MANOVA)”
Ph.D. Title “On Reconstruction Differential Operator by Spectrum”
Education andTraining
- October 1989 – July 1992
Governmental mission to Yarevan State University, Mathematics Department, Yarevan – Armenia.
- June 2000 – Aug. 2000 and June 2001 – July 2001
Visitor Professor to Dept. of Mathematics, University of Central Florida, Orlando, FL-32816, USA.
Employment History
1982-1988 Demonstrator in the Dept. of Math.and Phys. Science, Faculty of Engineering, Mansoura University.
1988-1992 Lecturer, in the Dept. of Math. And Phys. Science, Faculty of Engineering, Mansoura University.
1992-1998 Assistant Prof. in the Dept. Math. and Phys. Science, Faculty of Engineering, Mansoura University.
1998- 2003 Associate Prof. of Math. in the Dept. Math. and Phys.
Science, Faculty of Engineering, Mansoura University.
2003 - Prof. of Math. in the Dept. Math. and Phys. Science, Faculty of Engineering, Mansoura University.
2003-2007 General manager of Mansoura University press.
Aug.,2005- Aug.,2008 Feb.,2009
Head of Math. and Engineering Phys. Science Dept., Faculty of Engineering, Mansoura University.
Prof. of Math. GRC Dept., Jeddah Community College, King Abdulaziz University.
Teaching Experience
Teaching the following under-graduate and post-graduate courses at Faculties of Engineering and Education, Mansoura University, and at Jeddah Community College, King Abdulaziz University:
1. College Algebra and Trigonometry.
2. Mathematical Analysis.
3. Functional Analysis.
4. Differential and Integral Calculus.
5. Differential Equations and its applications.
6. Complex Analysis.
7. Integral Equations.
8. Special Functions and Partial Differential Equations.
9. Linear Algebra.
10. Probability and Statistics.
11. Functions of Several Variables and Multiple integrals.
12. Numerical methods.
13. Mathematics for Computer.
Supervision I.List of theses awarded under my supervision:
1. Hydraulic design of rectangular and square tube settlers, Mansoura University, Faculty of Engineering, Sept. 1994 (M.Sc).
2. Optimization of small bore sewer system design, Mansoura University, Faculty of Engineering. June 1995 (M.Sc).
3. Extending the use of finite integral transform in cylindrical coordinates; Mansoura University, Faculty of Engineering, Sept.
Engineering, Feb. 1996 (M.Sc).
5. Solution of nonlinear weakly singular integral equations, Mansoura University, Faculty of Engineering, March 1996 (M.Sc).
6. Using wavelet and sinc bases in solving some differential equations, Mansoura University, Faculty of Engineering, August, 2003 (Ph.D.).
7. Computing some integrals of products of wavelets and their derivatives or integrals. Mansoura University, Faculty of Engineering, October 2003 (M.Sc).
8. Wavelet-Galerkin method for solving linear two-dimensional differential equations, Mansoura University, Faculty of Engineering, December 2003 (M.Sc).
9. Solution of a class of nonlinear integro-differential equations using Adomian’s decomposition method, Mansoura University, Faculty of Engineering, 2005 (M.Sc).
10. Wavelet methods for solving coupled partial differential equations, Mansoura University, Faculty of Engineering, September 2006 (M.Sc).
11. Application of Adomian method to nonlinear partial differential equations of arbitrary order, Mansoura University, Faculty of Engineering, July 2007 (Ph. D).
12. Wavelet calculus and connection coefficients, Mansoura University, Faculty of Engineering, August 2007 (M.Sc).
13. Mechanism of removal in coarse media direct filteration filter, Mansoura University, Faculty of Engineering, May 2008 (Ph. D).
II. List of theses under my supervision now:
1. Numerical solutions of Fredholm-Volterra intergro-differential equations, Mansoura University, Faculty of Engineering (Ph. D).
2. Two-dimensional partial differential equations and wavelet methods, Mansoura University, Faculty of Engineering (Ph. D.) 3. On Some Problems on Fractional Calculucs, Mansoura
University, Faculty of Engineering (Ph. D.) Area of
Interest
Engineering Mathematics, Differential equations, integral equations, wavelets and Adomian’s decomposition methods.
Present work [1] Error analysis of wavelet-Galerkin and wavelet-collocation methods for solving partial differential equations.
[2] Computing the connection coefficients using wavelet transforms of the scaling and wavelet functions and their derivatives.
List of Publications
Text book
S. H. Behiry, J. R. Cannon, H. Hashish and A. I. zayed, Comparison of a Wavelet-
Galerkin Procedure with a Crank-Nicolson-Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass, which is the fith chapter of the text book "Mathematical Models and Methods for Real World Systems" edited by K. M.
Furati, Zuhair Nashed and Abul Hasan Siddiqi, Chapman & Hall/CRC (2006).
Research Papers
[1] I. L. El-Kalla, S. H. Behiry, H. Hashish and A. Abdalah, Decomposition solution of fractional sine Jordon differential equations, Kybernets, (Submitted). (UK) [2] Mohamed El-Gamel, J. R. Cannon, S. H. Behiry and H. Hashish, The numerical
solution of fifth order boundary value problems with sinc-Galerkin method, J. of Applied Mathematics and Computation, (to appear). (USA)
[3] A. M. A. El-Sayed, S. H. Behiry and W. E. Raslan, Adomian’s decomposition method for solving an intermediate fractional advection-dispersion equation, J. of Computer and Mathematics with Applications,Article in press. (USA)
[4] A. M. A. El-Sayed, S. H. Behiry and W. E. Raslan, A numerical algorithm for the solution of an intermediate fractional advection dispersion equation, Commun Nonlinear Sci Numer Simulat, Vol. 15, pp 1253-1258 (2010). (USA)
[5] H. Hashish, S. H. Behiry and A. Elsaid, Solving the 2-D heat equations using wavelet-Galerkin method with variable time step, J. of Applied Mathematics and Computation, Vol. 213, pp. 209-215, (2009). (USA)
[6] H. Hashish, S. H. Behiry and N. A. El-Shamy, Numerical integration using wavelets, J. of Applied Mathematics and Computation, Vol. 211, pp. 480-487, (2009). (USA)
[7] M. I. Hassan, S. H. Behiry, H. Hashish and E.A. Sayed, Wavelet Galerkin
[8] H. Hashish, S. H. Behiry and N. A. El-Shamy, Numerical integration using wavelets, Sixth International Engineering Conference, Faculty of Engineering, Mansoura University, Mansoura/Sharm El-Sheikh, 18-23 March (2008). (Egypt) [9] S. H. Behiry, H. Hashish, R. A. Abd-Elmonem and A. M. Gomaa, Discrete
Adomian decomposition solution of nonlinear Fredholm integral equations, Sixth International Engineering Conference, Faculty of Engineering, Mansoura University, Mansoura/Sharm El-Sheikh, 18-23 March (2008). (Egypt)
[10] S. H. Behiry, I. L. El-Kalla, H. Hashish and A. Alsaid, A new algorithm for the decomposition solution of nonlinear differential equations, J. of Computer and Mathematics with Applications,Vol. 54, pp. 459-466, (2007). (USA)
[11] H. Hashish, S. H. Behiry and M. Fahmy, Solving coupled partial differential equations by wavelet Galerkin method, Sci. Bull. Fac. Eng. Ain Shams Univ., Vol. 41, No. 4, pp. 721-734, (2006). (Egypt)
[12] S. H. Behiry, I. L. El-Kalla and S. A. El-Morsy, Numerical implementation of Adomian method for nonlinear Volterra integro-differential equations, Fifth International Engineering Conference, Faculty of Engineering, Mansoura University, Mansoura/Sharm El-Sheikh, 27-31 March (2006). (Egypt)
[13] S. H. Behiry, H. Hashish and A. M. Abdullah, Wavelet-Galerkin method for solving nonhomogenous two-dimensional heat equations, Forth International Engineering Conference, Faculty of Engineering, Mansoura University, Mansoura/Sharm El-Sheikh, 20-22 April (2004). (Egypt)
[14] H. Hashish, S. H. Behiry and A. M. Abdullah, Wavelet-Galerkin method for solving two-dimensional convection-diffusion problems with variable coefficients, Forth International Engineering Conference, Faculty of Engineering, Mansoura University, Mansoura/Sharm El-Sheikh, 20-22 April (2004). (Egypt) [15] Mohamed El-Gamel, S. H. Behiry and H. Hashish, Numerical method for the
solution of special nonlinear fourth-order boundary value problems, J. of Applied Mathematics and Computation, Vol. 145, No 2, pp. 717-734, (2003). (USA).
[16] H. Hashish, S. H. Behiry and B. Abdel-Hamid, A Wavelet-Galerkin solution for the backward heat conduction equations, Int. J. of Applied Mathematics, Vol. 11, No. 2, pp. 197-207, (2002). (Bulgaria)
[17] S. H. Behiry and H. Hashish “Wavelet methods for the numerical solution of Fredholm integro-differential equations” Int. J. of Applied Mathematics, Vol. 11, No. 1, pp. 27-35, (2002). (Bulgaria)
[18] H. Hashish and S. H. Behiry “A comparison between the Wavelet-Galerkin and the Sinc-Galerkin methods for solving parabolic partial differential equations”
Int. J. of Differential Equations and Applications, Vol. 6, No. 3, pp. 269-281, (2002). (Bulgaria)
[19] S. H. Behiry, A Wavelet-Galerkin method for inhomogeneous diffusion equations subject to mass specification, J. Phys. A: Math. Gen., Vol. 35, pp. 9745-9753, (2002). (UK)
[20] S. H. Behiry and H. Hashish, Comparison of a Wavelet-Galerkin procedure with a Crank-Nicolson-Galerkin procedure for the diffusion equation subject to the specification of mass, Int. J. of Differential Equations and Applications, Vol. 6, No. 2, pp. 197-207, (2002). (Bulgaria)
[21] S. H. Behiry, H. Hashish and F.W. Zaki, Linear prediction in wavelet domain, Int.
J. of Sampling Theory in Signal and Image Processing, Vol. 1, No. 1, pp. 63-75, (2002). (USA)
[22] S. H. Behiry, A sinc collocation interpolation method for Fredholm integro- differential equations, Sci. Bull. Fac. Eng. Ain Shams Univ., Vol. 36, No. 4, pp.
699-705, (2001). (Egypt)
[23] S. H. Behiry, H. Hashish and A. M. Gomaa, Fast algorithms for computing bounded interval connection coefficients, Sci. Bull. Fac. Eng. Ain Shams Univ., Vol. 36, No. 4, pp. 707-726, (2001). (Egypt)
[24] H. Hashish, S. H. Behiry and F. W. Zaki, Wavelet transform and applications to speech compression, Journal of Engineering and Applied Science, Faculty of
[25] F. W. Zaki, H. Hashish, and S. H. Behiry, Speech comperssion using wavelet transform, Radio science Conference. NRSC 2001. Proceedings of the Eighteenth National, Vol. 2, pp. 467-474, (2001). (Egypt)
[26] S. H. Behiry, Diagonalization of an integral operator with a certain weakly singular kernel, Alexandria Engineering Journal, Vol. 37, No. 6, pp. D103-D105, (1998). (Egypt)
[27] S. H. Behiry, B. Abdel-Hamid and M. M. Helal, A good approximate solution of heat conduction equations in cylindrical coordinates composite media, Mansoura Engineering Journal (MEJ), Vol. 23, No. 2, pp. P.1-P.10, (1998). (Egypt)
[28] S. H. Behiry, Manipulating the nonlinearty of heat conduction problem using finite integral transform, Second Scientific Engineering conference, Faculty of Engineering, Mansoura University, Conference Proceeding Vol. IV, (1997).
(Egypt)
[29] S. H. Behiry, Approximate analytic solutions of nonlinear heat conduction problems in cylindrical coordinates, Alexandria Engineering Journal, Vol. 36, No. 2, pp 31-36, (1997). (Egypt)
[30] S. H. Behiry, A. E. Hussien and A. Ebrahim, An integral equation method for solving non-linear heat diffusion problem, Journal of Engineering and Applied Science, Faculty of Engineering Cairo University, Vol. 43, No. 6, pp 1107-1113, (1996). (Egypt)
[31] G. M. Attia and S. H. Behiry, A numerical solution of integral equations with a logarithmic kernel by product and Gauss-Legendre methods, Mansoura Engineering Journal (MEJ), Vol. 20, No. 3, pp 1-6, (1995). (Egypt)
[32] M. M. Saleh, S. H. Behiry and I. L. El-Kalla, Stochastic Laplace equation with random boundary conditions, First Engineering Conference-Mansoura-Egypt, Conference Proceeding Vol. I, pp 445-450, (1995). (Egypt)
[33] S. H. Behiry, On transformation operator for differential equations of high order, Advances in Modelling & Analysis, Vol. 27, No.3, pp 27-35, (1995). (France)
[34] Ahmed A. Ashry, S. H. Behiry and Mousa El Bisy, New approach for predicting rectangular and square tube settlers length, Mansoura Engineering Journal (MEJ), Vol. 19, No. 4, pp 10-16, (1994). (Egypt)
[35] Ahmed A. Ashry, S. H. Behiry and Mousa EL Bisy, Velocity profiles in the transition length of a rectangular tube, Mansoura Engineering Journal (MEJ), Vol. 19, No. 3, pp 1-7, (1994). (Egypt)
