Unique solvability of restrictive Padé and restrictive Taylor's approximations

Applied Mathematics and Computation

Volumn 152, Issue 1, 2004, Pages 89-97

  Ismail, Hassan N A ^a  

^a BENHA UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

TAYLOR'S APPROXIMATIONS;

APPROXIMATION THEORY;

EID: 1842426209     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00546-0     Document Type: Article

References (10)

1. Baker G.A., Graves-Morris P. Padé Approximants, Part I. Basic Theory. Part II. Extensions and Applications, Encyclopedia of Mathematics and its Applications. 1981;Addison-Wesley, Reading, MA.
2. H.N.A. Ismail, E.M.E. Elbarbary, Restrictive Padé Approximation, J. Facult. Educat., Ain-Shams University (Special issue for first International Conference of Mathematical and Physical Sciences and Applications, Cairo, 1995 pp.63-76).
3. Ismail H.N.A., Elbarbary E.M.E. Restrictive Padé Approximation and Parabolic Partial Differential Equation. Int. J. Comput. Math. 66:1998;343-351.
4. Ismail H.N.A., Elbarbary E.M.E. Highly accurate method for the convection-diffusion equation. Int. J. Comput. Math. 72:1999;271-280.
5. Ismail H.N.A., Elbarbary E.M.E., Hassan A.Y. Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equation. Int. J. Comput. Math. 77:2000;251-261.
6. Ismail H.N.A., Hassan A.Y. Restrictive Padé approximation for solving first order hyperbolic partial differential equations. J. Inst. Math. Comput. Sci. 11(1):2000;63-71.
7. Ismail H.N.A., Hassan A.Y. Restrictive Padé approximation for solving first order hyperbolic partial differential equation in two space dimensions. J. Inst. Math. Comput. Sci., India. 11(2):2000;159-166.
8. Ismail H.N.A., Elbarbary E.M.E. Restrictive Taylor approximation and parabolic partial differential equations. Int. J. Comput. Math. 78:2001;73-82.
9. Ismail H.N.A., Elbeetar A.A. Restrictive Padé approximation for the solution of singularly perturbed parabolic PDE. Int. J. Inst. Math. and Comput. Sci. 12(2):2001;153-161.
10. Ismail H.N.A., Elbarbary E.M.E., Elbeetar A.A. Restrictive Padé approximation for the solution of Schrodinger equation. Int. J. Comput. Math. 79(5):2002;603-613.