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Assist. Ayman Fayez Elsayed Hassan :: Publications:

A Restrictive Padé approximation for the solution of RLW equation
Authors: Hassan N.A Ismailab; Khalid M. Elnaggara: Ayman F. Hassana;
Year: 2017
Keywords: Partial differential equation (PDE) Regularized long wave (RLW) Restrictive Padé approximation
Journal: International Journal of Advances in Applied Mathematics and Mechanics
Volume: 5
Issue: 1
Pages: 7-14
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Ayman Fayez Elsayed Hassan_v5n1p2_7-14.pdf
Supplementary materials Not Available

Solving RLW equation numerically has many difficulties for accuracy. Restrictive Padé (RP) approximation is used. The numerical solution of RLW equation by RP scheme leads to accurate and efficient results. The stability analysis is discussed. Numerical results are presented.After solving Examples (1) (section 6.1) and (2) (section 6.2), Table 1 and Table 2 shows comparison between the absolute error of the considered Restrictive Padé (RP) approximation and highly accurateModified Laplace Adomian Decomposition method (ADM) which used to solve Example (1) (section 6.1) [27] and variational iteration method which used to solve Example (2) (section 6.2) [28], Also as shown in Example (3) (section 6.3), the change in invariants is less than 10¡3 and the comparison in Table 4 shows that the norms of error result from present RP method are less than that we get from Fully implicit method [29]. The results prove that the present method is more accurate than the previously used methods, i.e. the global error for RP method is less by at least 10¡3 than the previous method.

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