APPROXIMATE SOLUTION FOR TIME-DELAYED CONVECTIVE FISHER EQUATION BY ADM-PADÉ TECHNIQUE

DOI10.1142/S1793557110000155zbMath1194.35023OpenAlexW2019741131MaRDI QIDQ3575399

E. S. Fahmy, Abir Alharbi

Publication date: 27 July 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557110000155

zbMATH Keywords

Padé approximationAdomian decomposition

Mathematics Subject Classification ID

Padé approximation (41A21) Theoretical approximation in context of PDEs (35A35) Approximation by operators (in particular, by integral operators) (41A35) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Exact travelling wave solutions of some nonlinear evolutionary equations
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Numerical study of Fisher's equation by Adomian's method
• Convergence of Adomian's method applied to differential equations
• An aftertreatment technique for improving the accuracy of Adomian's decomposition method
• New method for calculating Adomian polynomials
• The solution of Burgers' and good Boussinesq equations using ADM-Padé technique
• Extended tanh-function method and its applications to nonlinear equations
• Exact solutions of Fisher and Burgers equations with finite transport memory
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

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