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International Journal of Computer Mathematics Volume 78, 2001 - Issue 1
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Original Articles

Restrictive taylor's approximation and parabolic partial differential equations

Hassan N. A. Ismail Benha Higher Institute of Technology, Benha, Egypt
&
Elsayed M. E. Elbarbary Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, EgyptCorrespondence[email protected]
Pages 73-82 | Received 03 May 2000, Published online: 20 Mar 2007

Citations (15)

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Read on this site (2)

G. Hariharan & K. Kannan. (2010) A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations. International Journal for Computational Methods in Engineering Science and Mechanics 11:4, pages 173-184.
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D. Khojasteh Salkuyeh & F. Saadati Sharafeh. (2009) On the numerical solution of the Burgers's equation. International Journal of Computer Mathematics 86:8, pages 1334-1344.
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Articles from other publishers (13)

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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Hassan N.A. Ismail, Tamer M. Rageh & Ghada S.E. Salem. (2014) Modified approximation for the KdV–Burgers equation. Applied Mathematics and Computation 234, pages 58-62.
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M.M. Khader. (2013) Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques. Journal of Computational Physics 250, pages 565-573.
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Kemal Altıparmak & Turgut Öziş. (2011) Numerical solution of Burgers' equation with factorized diagonal Padé approximation. International Journal of Numerical Methods for Heat & Fluid Flow 21:3, pages 310-319.
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Davod Khojasteh Salkuyeh. (2008) Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients. Computers & Mathematics with Applications 56:8, pages 2027-2033.
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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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Mustafa Gülsu & Turgut Öziş. (2005) Numerical solution of Burgers’ equation with restrictive Taylor approximation. Applied Mathematics and Computation 171:2, pages 1192-1200.
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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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