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International Journal of Computer Mathematics Volume 66, 1998 - Issue 3-4
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Original Articles

Restrictive padé approximation and parabolic partial differential equations

Hassan N.A. Ismail Benha Higher Institute of Technology, Benha, Egypt
&
Elsayed M.E. Elbarbary Dept. of Math., Faculty of Education, Ain Shams University, Cairo, Egypt
Pages 343-351 | Received 17 Sep 1996, Published online: 19 Mar 2007

Citations (15)

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Read on this site (5)

HassanN.A. Ismail, ElsayedM.E. Elbarbary & AmalA. Elbietar. (2002) Restrictive Padé Approximation for the Solution of the SchröDinger Equation. International Journal of Computer Mathematics 79:5, pages 603-613.
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Hassan N. A. Ismail & Elsayed M. E. Elbarbary. (2001) Restrictive taylor's approximation and parabolic partial differential equations. International Journal of Computer Mathematics 78:1, pages 73-82.
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Hassan N.A. Ismail, Elsayed M.E. Elbarbary & Adel Y.H. Younes. (2001) Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations. International Journal of Computer Mathematics 77:2, pages 251-261.
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Elsayed M.E.M Elbarbary. (2001) Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations. International Journal of Computer Mathematics 77:1, pages 135-144.
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Hassan N. A. Ismail & Elsayed M. E. Elbarbary. (1999) Highly accurate method for the convection-diffusion equation. International Journal of Computer Mathematics 72:2, pages 271-280.
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Articles from other publishers (10)

Ahmet Boz & Fevziye Gülsever. (2016) Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation. Journal of Applied Mathematics and Physics 04:11, pages 2031-2037.
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Hamdy Ibrahim Abdel-Gawad & Khaled Mmohamed Saad. (2008) A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control. Kyungpook mathematical journal 48:3, pages 395-410.
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H.I. Abdel-Gawad. (2008) A model for a finite memory transport in the Fisher equation. Applied Mathematical Modelling 32:9, pages 1883-1893.
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Mustafa Gülsu. (2006) A finite difference approach for solution of Burgers’ equation. Applied Mathematics and Computation 175:2, pages 1245-1255.
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Hassan N.A. Ismail, Kamal R. Raslan, Ghada S.E. Salem & Aziza A. Abd Rabboh. (2005) Comparison study between restrictive Taylor, restrictive Padé approximations and Adomian decomposition method for the solitary wave solution of the General KdV equation. Applied Mathematics and Computation 167:2, pages 849-869.
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Hassan N.A. Ismail. (2005) On the convergence of the restrictive Padé approximation to the exact solutions of IBVP of parabolic and hyperbolic types. Applied Mathematics and Computation 162:3, pages 1055-1064.
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Hassan N.A. Ismail & Aziza A.Abd Rabboh. (2004) A restrictive Padé approximation for the solution of the generalized Fisher and Burger–Fisher equations. Applied Mathematics and Computation 154:1, pages 203-210.
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Hassan N.A. Ismail. (2004) Unique solvability of restrictive Padé and restrictive Taylor's approximations. Applied Mathematics and Computation 152:1, pages 89-97.
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Hassan N.A. Ismail, Elsayed M.E.M. Elbarbary & Ghada S.E. Salem. (2004) Restrictive Taylor’s approximation for two dimensions initial boundary value problem for parabolic PDE. Applied Mathematics and Computation 147:3, pages 607-615.
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Elsayed M.E Elbarbary, Salah M Elsayed, Ismail K Youssef & Ahmed M.M Khodier. (2003) Restrictive Chebyshev rational approximation and applications to heat-conduction problems. Applied Mathematics and Computation 136:2-3, pages 395-403.
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