CURRICULUM VITAE
Name: Waleed Mohamed Abd-Elhameed Saleh Born: January 15, 1972
Addresses: Current Address: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Permanent Address: Department of Mathematics, Faculty of Science, Cairo Univer- sity, Giza-Egypt.
Phones:Current Phone (00966594816772)
In Cairo: 00201005283479 - 00201001107843 - 00201001875669 (Mobiles) E-mails: [email protected], walee−[email protected]
1. Employment
1994-2000 Demonstrator, Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt.
2000-2005 Assistant Lecturer, Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt.
2006-2011 Lecturer, Department of Mathematics, Faculty of Science, Cairo University, Giza-Egypt.
2011-2012 Associate Professor, Department of Mathematics,
Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
2012- Associate Professor, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
2. Education
• 1994 B.Sc. in Pure and Applied Mathematics, Department of Mathematics, Faculty of Science, Cairo University , Giza-Egypt.
• 2000 M.Sc., Faculty of Science, Cairo University, Egypt. Advisor: Professor E.H. Doha. Dissertation title: Spectral Galerkin Method for Solving Second and Fourth Order Differential Equations by Using Ultraspherical Polynomials.
• 2005 Ph.D., Faculty of Science, Cairo University, Egypt. Advisor: Professor E.H. Doha. Dissertation title: Spectral Galerkin Methods for Solving Partial Differential Equations by Using Orthogonal Polynomials.
3. Fields of interest
• Numerical Analysis
• Approximation Theory
• Partial Differential Equations
• Special Functions
• Spectral Methods
• Fractional Differential Equations
• Wavelets and Their Applications
4. Publications
The paper published from master:
Efficient Spectral-Galerkin Algorithms for Direct solution of Second-Order Equa- tions Using Ultraspherical Polynomials, by E.H. Doha and W.M. Abd-Elhameed, SIAM J. Sci. Comput., Vol. 24, No. 2, (2002), pp. 548-571.
The papers published from Ph.D.:
1. Efficient spectral ultraspherical-Galerkin approximations for one-dimensional fourth-order problems, in: E.H. Doha and M.A. Helal (eds.), Proceedings of the International Conference on mathematics: Trends and Developments, Egyptian Math. Soc., Cairo 28-31 Dec. (2002), Vol. III, Numerical Analysis, (2003), pp. 99-126.
2. Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method, J. Comput. Appl. Math., Vol.
Publications after Ph.D.
1. W.M. Abd-Elhameed, Efficient spectral Legendre dual-Petrov Galerkin algo- rithms for the direct solution of (2n+ 1)th-order linear differential equations, J. Egypt. Math. Soc., Vol. 17(2), 2009, 189-213.
2. E.H. Doha and W.M. Abd-Elhameed, Accurate spectral solutions for parabolic and elliptic partial differential equations by the Jacobi Tau method, J. Egypt.
Math. Soc., Vol. 17, No. 1, (2009), pp. 35-63.
3. E.H. Doha and W.M. Abd-Elhameed, Efficient spectral ultraspherical-dual- Petrov-Galerkin algorithms for the direct solution of (2n + 1)th-order linear differential equations, Math. Comput. Simulat., Vol. 79, (2009), pp. 3221- 3242.
4. E.H. Doha, W.M. Abd-Elhameed and A. H. Bhrawy, Efficient spectral ultraspherical- Galerkin algorithms for the direct solution of 2nth-order linear differential equations, Appl. Math. Model., Vol. 33, (2009), pp. 1982-1996.
5. E.H. Doha, W.M. Abd-Elhameed and A. H. Bhrawy, Jacobi spectral Galerkin method for elliptic Neumann problems, Numer. Algor., Vol. 50, (2009), pp.
67-91.
6. A. H. Bhrawy and W.M. Abd-Elhameed, New Algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method, Math. Probl. Eng., Volume 2011, Article ID 837218, 14 pages, doi:10.1155/2011/837218.
7. 7- E. H. Doha, W.M. Abd-Elhameed and Y. H. Youssri, Efficient spectral- Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi poly- nomials, Appl. Math. Comput., Vol. 218, (2012), pp. 7727-7740.
8. E.H. Doha, W.M. Abd-Elhameed and H.M. Ahmed, the Coefficients of Differ- entiated Expansions of Double and Triple Jacobi Polynomials, B. Iran. Math.
Soc., Vol. 38, No. 3 (2012), pp. 739-766.
9. W.M. Abd-Elhameed, E.H. Doha and Y.H. Youssri, Efficient spectral-Petrov- Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials, Quaest. Math., Vol. 36 (2013), pp. 15-38.
10. E.H. Doha and W.M. Abd-Elhameed, Efficient Solutions of Mutidimensional Sixth-Order Boundary Value Problems Using Symmetric Generalized Jacobi- Galerkin Method, Abstr. Appl. Anal., Volume 2012, Article ID 749370, 19 pages doi:10.1155/2012/749370.
11. On the coefficients of integrated expansions and integrals of Chebyshev poly- nomials of third and fourth kinds, Accepted.
12. E.H. Doha, W.M. Abd-Elhameed and A.H. Bhrawy, New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials, Collect. Math., Collect. Math.,64 (2013), pp. 373-394.
13. E.H. Doha, W.M. Abd-Elhameed and M.A. Bassuony, New algorithms for solv- ing high even-order differential equations using third and fourth Chebyshev- Galerkin methods, J. Comput. Phys., Vol. 236, (2013), pp. 563-579.
14. E.H. Doha, W. M. Abd- Elhameed and Y. H. Youssri, Second kind Chebyshev operational matrix algorithm for solving differential equations of Lane-Emden type, New Astron., 23-24 (2013), pp. 113-117.
15. W. M. Abd- Elhameed, E.H. Doha and Y. H. Youssri, New Wavelets Colloca- tion Method for Solving Second-Order MultiPoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds, Abstr. Appl. Anal.
(2013) Article ID 542839.
16. W. M. Abd- Elhameed, E.H. Doha and Y. H. Youssri, New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second- Order Differential Equations Involving Singular and Bratu Type Equations, Abstr. Appl. Anal. (2013) Article ID 71756.
17. W.M. Abd-Elhameed, E.H Doha and M.A. Bassuony, Two Legendre-Dual- Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd- Order Boundary Value Problems., The Scientific World Journal Volume 2014 (2014), Article ID 309264, 11 pages
Submitted papers:
• Improved condition number for certain parameter ultraspherical dual-Petrov Galerkin method for odd-order differential equations.
• On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds.
• New closed analytical formulae for linearization of the products of Chebyshev polynomials of third and fourth kinds.
• Efficient Galerkin algorithms for solving the integrated forms of high even- order differential equations using shifted Chebyshev polynomials of third and fourth kinds.
• New solutions for singular IVPs of Lane-Emden type arising in astrophysics based on shifted ultraspherical operational matrices of derivatives.
• Nonsymmetric generalized Jacobi Petrov-Galerkin algorithms for third- and fifth-order two point boundary value problems.
• Ultraspherical wavelets method for solving differential equations of Lane-Emden type.
• A novel operational matrix method based on shifted Legendre polynomials for solving second-order value problems involving singular, singularly perturbed and Bratu type equations.
• High order derivatives of Chebyshev polynomials of third and fourth kinds:
Two applications to some high order boundary value problems with polynomial coefficients.
5. Organization
1. A member of the Egyptian Mathematical Society.
2. A member of the Mathematical and Physical Society of Egypt.
6. Teaching Experience
• I taught various courses in Department of Mathematics-Faculty of Science- Cairo University.
• I taught in a new Geosciences Programme in Faculty of Science-Cairo Univer- sity.
• I taught in Misr University for Science and Technology at the academic year 2007-2008.
• I taught in the American University in Cairo (AUC) for the academic year 2011-2012.
7. Organization
1. A member of the Egyptian Mathematical Society.
2. A member of the Mathematical and Physical Society of Egypt.
8. M. Sc. supervision:
Y.H. Yousrri 2008-2011
Dissertation title: Optimal Spectral Dual-Petrov Galerkin Methods and Their Error Analysis for Solving odd-Order Differential Equations Using Generalized Jacobi Polynomials.
M.A. Bassuony 2010-2012
Dissertation title: Spectral Galerkin Method for Solving Even-Order Differen- tial Equations by Using Third and Fourth Kinds Chebyshev Polynomials".
M.M. Abd-Elrahman 2011-,
Dissertation title: Spectral Petrov-Galerkin Method for Solving High-Odd Or- der Two Point Boundary Value Problems by Using Chebyshev Polynomials of the Third and Fourth Kinds.
Y.H. Yousrri 2012-
Dissertation title: Spectral Accurate Methods for Solving Linear and Nonlinear Differential Equations Based on Wavelets and Orthogonal Polynomials.
M.A. Bassuony 2012-
Dissertation title: "Spectral Methods for Solving Differential Equations Using Orthogonal Polynomials".
10. Awarded prizes
• I have been honored by receiving the award of "Best M.Sc. thesis in Mathe- matics" from the Egyptian Mathematical Society for 2003.
• I have honored by receiving the award of: "The ideal assistant lecturer" for 2004 awarded from the Department of Mathematics-Faculty of Science-Cairo University.
• I have been honored by receiving the award of "scientific excellence" for 2005 awarded from Department of Mathematics-Faculty of Science-Cairo University.
• I have been honored by receiving the award of "Best Ph.D thesis in Mathe- matics" from the Egyptian Mathematical Society for 2006.
• I have been honored from the rector of Cairo University (Research and Scien- tific Affairs) for publishing my Scientific Research work in well-known Inter- national reputable Journals, aiming to improve the order of the position and classification of Cairo University internationally between other universities all over the world, in the years of 2009 and 2011.
11. Conferences
(1) One day Conference on Spectral Methods and Their Applications in Compu- tational Fluid Dynamics, Cairo University, Faculty of Science, Department of Mathematics, Egypt, November, 1999.
In this Conference, I have contributed with a paper entitled "Efficient Spectral- Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ul- traspherical Polynomials" Jointly with E. H. Doha.
(2) International Conference on Mathematics (Trends and Developments), Cairo 28-31 December 2002, On the occasion of the 10th anniversary of the Egyptian Mathematical Society.
In this Conference, I have contributed with a paper entitled "Efficient Spectral- Galerkin Algorithms for Direct Solution of Fourth-Order Equations Using Ul- traspherical Polynomials" Jointly with E. H. Doha.
(3) One day Conference on Mathematical Analysis and its Applications, Cairo University, Faculty of Science, Department of Mathematics, Egypt, December, 2004.
(4) One day Conference on Mathematical Analysis and its Applications Cairo Uni- versity, Faculty of Science, Department of Mathematics, Egypt, November, 2005.
(5) The Second International Conference on Mathematics ICMTD 07 organized by the Egyptian Mathematical Society held in Cairo from 27-30 December 2007 and I presented the paper entitled " Efficient Spectral Legendre-Dual- Petrov-Galerkin Algorithms for the Direct Solution of (2n+1) th- Order Linear Differential Equations".
(6) I attended the workshop in Cairo university in 14-12-2009 entitled " Publishing Scholarly Journals".
(7) The Third International Conference on Mathematics ICMTD 2012 organized by the Egyptian Mathematical Society held in Cairo from 28-31 December 2012 and I contributed with paper entitled "A New Spectral Algorithm For Solving Linear and Nonlinear Second-Order Differential Equations Based on Second Kind Chebyshev Wavelets".
12. Skills and training
(1) I passed the exam of International Computer Driving License (ICDL).
(2) I have attended and met the standards required for completion of a training course in the following:
• The examination systems and students assessment which held from: 1/7/2008 to 3/7/2008.
• Research team management which held from: 18/1/2011 to 20/1/2011.
• Legal and financial aspects in university environment which held from: 12/2/2011 to 14/2/2011.
• Credit hour system which held from: 22/2/2011 to 24/2/2011.
• Use of technology in teaching which held from: 28/2/2011 to 2/3/2011.
