Professor Emeritus\ Hassan Nasr Ahmed Ismail

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List of Publications

[1] Hassan N.A. Ismail

“Generalization of Sturm’s Theorems”, KOVS VUT A-12, pp 133-139, Brno, CSSR (1976).

[2] Hassan N.A. Ismail

“Generalized Periodic Overimplicit Multistep Method GPOMM”, Aplikacy Matematiky 24 pp 250-272, CSSR (1979).

[3] Hassan N.A. Ismail

“Necessary Condition for the Convergence of the GPOMM”, Aplikacy Matematiky 24, pp. 273-283, CSSR (1979).

[4] Hassan N.A. Ismail and M. Ramadan

“An Efficient Frequency Response Computation Using Amoldi’s Algorithm”, 16th IMACS World Congress on Computation & Applied Mathematics, Vol. 3, pp 1333-13335, Duplin (1991). Int. J. Computer Mathematics, Vol. 46, pp 183-194 (1992).

[5] Hassan N.A. Ismail, and Nahed N. Morsi.

“Fuzzy Rank and Fuzzy Matrix”, International Journal of Fuzzy Sets & Systems, Vol. 41, pp 243-249 North Holland (1991).

[6] Hassan N.A. Ismail, Fatma A.M. Mahmoud and A.A. Salama

“Modified OCI Scheme for Two-Boint Boundary-Value Problem”, Int. J. Computer Mathematics Vol. 35, pp 195-205 (1990).

[7] Hassan N.A. Ismail, I.A. Hussanien and H.M. El-Hawary

“Chebyshev Solution of Laminar-Boundary-Layer Flow”, Int. J. Computer Mathematics Vol. 33, pp 127-132 (1990).

[8] Hassan N.A. Ismail, and H. M. El-Hawary

“Chebyshev method for the Solution of Boundary-Value Problem”, Int. J. Computer Mathematics Vol. 40, pp 251-258 (1991).

[9] Hassan N.A. Ismail, Fatma A.M. Mahmoud and A.A. Salama

“A class of Operator Compact Implicit Methods for Initial-Value problem”, Jour, Inst. Math. & Comp. Sci. Vol. 4, No. 1, pp 127-147 (1991).

[10] S. El-Gindi, Hassan N.A. Ismail, and H.M. El-Hawary

“Numerical Solution of Posisson’s Equation by Chebyshev Polynomials”, Bullitin of the Calcutta Mathematical Society Vol. 84, pp 443-449, (1992).

[11] Hassan N.A. Ismail, M. Osama El-Giar and Fatema Hassan M.

“The Relaxation Schemes for the Two Dimensional Anisotropic Elliptic Partial Differential Equations Using Multigrid Method”, Analele Stuntifice Ale Universitu, AL.I. GUZA IASI Sectiunea Matematic f.2 pp 409-425 (1995).

[12] Hassan N.A. Ismail, and Fatema Hassan

“The Relaxation Schemes for the 2D and 3d Anisotropic partial Differential Equations Using Multigrid Methods”, Analele Stuntifice Ale Universitatu” AL.I. CUZA” IASI Sectiunae matermatica f.2 pp 305-324 (1999).

[13] Hassan N.A. Ismail, and Fatma A.A. Zaid

“Flux Limiters Fourth, Sixth and Eight Order High Resolution Methods for Hyperbolic Conservation Laws”, Analele Stun tifice Ale Universitatu “Al.I. CUZA” IASI Sectiunea Matematica, f.2, pp 341-366 (1999).

[14] Hassan N.A. Ismail, and Fatma A.A. Zaid

“Flux Limiters Fourth and Sixth Order High Resolution Method for Hyperbolic Conservation Law”, Int. J. Computer Mathematics Vol. 75, pp 71-96, (2000).

[15] Hassan N.A. Ismail, and Elsayed M.E. Elbarbary

“Restrictive Padé Approximation and Parabolic Partial Differential Equation”, Int. J. Computer Math., Vol. 66, pp 343-351, (1998).

[16] Hassan N.A. Ismail and Elsayed M. E Elbarbary

“Highly Accurate Method for the Convection-Diffusion equation”, Int. J. Computer Math. Vol. 72, pp 271-280, (1999).

[17] Hassan N.A. Ismail, Elsayed M. E. Elbarbary and Adel Younes Hassan

“Highly Accurate Method for Solving initial Boundary Value Problem for First Order Hyperbolic Differential Equation”, Int. J. Computer Math. Vol. 77, pp 251-261, (2001)

[18] Hassan N.A. Ismail and Elsayed M.E. Elbadry

“Restrictive Taylor Approximation and Parabolic Partial Differential Equations’, Int. J. Computer Math. Vol. 78, pp 73-82, (2002).

[19] Hassan N.A. Ismail, Elsayed M.E. Elbadry and Amal A. Elbeetar

“Restrictive Padé Approximation for the Solution of Schrodinger Equation”, Int. J. Computer Math. Vol. 79 (5), pp 603-613, (2002).

[20] Hassan N.A. Ismail and Adel Younes Hassan

“Restrictive Padé Approximation for Solving First Order hyperbolic Partial Differential Equations”, J. Inst. Math. & Comp. Sc., Vol. 11. No. 1, pp 63-73, (2000).

[21] Hassan N.A. Ismail and Adel Younes Hassan

“Restrictive Padé Approximation for Solving First Order Hyperbolic Partial    Differential Equation in Two Space Dimensions”, J. Inst. Math. & Comp. Sc., Vol. 11 No. 2, pp 159-166 (2000).

[22] Hassan N.A. Ismail and Amal A. Elbeetar

“Restrictive Padé Approximation for the Solution of Singularly Perturbed Parabolic PDE”, J. Inst. Math. & Com. Sc. Vol. 12 No. 2, pp 153-161, (2001).

[23] Hassan N.A. Ismail and Mahmoud Farouk Elsaid

“Restrictive Padé Approximation for Variable Coefficient Linear Initial Boundary Value Problem or Hyperbolic partial Differential Equations”, J. Inst. Math. & Comp. Sc. Vol. 14, no. 1, pp 1-10 (2003).

[24] Hassan N.A. Ismail, Zeinab Elsady and Aziza A. Abd Rabboh

“Restrictive Padé Approximation for Solution of Generalized Burger’s Equation” J. Inst. Math. & Comp. Sc. Vol. 14 No. 1, pp 31-35 (2003).

[25] Hassan N.A. Ismail, Elsayed M.E. Elbadry and Ghada S.E. Salem

“Restrictive Taylor Approximations for Solving Singularly Perturbed Initial Boundary Value Problems for Parabolic PDE”, J. Inst. Math. & Comp. Sc. Vol. 14, No. 1, pp 19-26 (2003).

[26] Hassan N.A. Ismail, Elsayed M.E. Elbadry and Ghada S.E. Salem

“Restrictive Taylor Approximation for Solving Convection – Diffusion Equation”, Appl. Math. & Computation 147, pp 355-363, (2004) (U.S.A).

[27] Hassan N.A. Ismail, Elsayed M.E. Elbadry and Ghada S.E. Salem

“Restrictive Taylor Approximation for Two Dimensional Initial Boundary Value Problem for Parabolic PDE”, Appl. Math. & Computation 147, pp 607-615, (2004) (U.S.A.).

[28] Hassan N.A. Ismail and Aziza A. Abd Rabboh

“Restrictive Padé Approximation for the Solution of Generalized Fisher and Generalized Burger-Fisher Equations”, Appl. Math. & Computation, Vol. 154, PP 203-210, (2004) (U.S.A.).

[29] Hassan N.A. Ismail

 Unique Solvability of Restrictive Padé and Restrictive Taylor’s Approximations”, Appl. Math. & Computation 152, pp 89-97, (2004) (U.S.A.).

[30] Hassan N.A. Ismail, Elsayed M.E. Elbadry and Ghada S.E. Salem

“Solitary Wave Solutions for the General KdV Equation by Adomian Decomposition Method”, Appl. Math. and Computation Vol. 154/1, pp 17-29 (2004) (U.S.A.).

[31] Hassan N.A. Ismail, Kamal R. Raslan and Aziza A. Abd Rabboh    

“Adomian Decomposition Method for Burger’s-Huxley and Burger’s Fisher Equations”, Appl. Math. and Computation, Vol. 159, pp 291-301 (2004) (U.S.A.).

[32] Hassan N.A. Ismail

“On the Convergence of the Restrictive Padé Approximation to the Exact Solution of IBVP of Parabolic and Hyperbolic Types”, Appl. Math, and Computation, Vol. 162, pp 155-166, (2005) (U.S.A.)

[33] Hassan N.A. Ismail, Ghada S.E. Salem and Aziza A. Abd Rabboh

“Comparison Study Between Restrictive Padé, Restrictive Taylor Approximations and Adomain Decomposition Methods for the Solitary Wave Solution of the General KdV Equation”. Appl. Math. & Computation. Vol.167, pp 849-869, (2005) (U.S.A).