A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation | Zendy

Achouri Talha | Zendy; Ayadi Mekki | Zendy; Omrani Khaled | Zendy

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A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation

Author(s) -

Achouri Talha,

Ayadi Mekki,

Omrani Khaled

Publication year - 2009

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20367

Subject(s) - mathematics , extrapolation , galerkin method , convergence (economics) , a priori and a posteriori , partial differential equation , nonlinear system , scheme (mathematics) , partial derivative , crank–nicolson method , mathematical analysis , physics , philosophy , epistemology , quantum mechanics , economics , economic growth

In this article, a fully discrete Galerkin scheme based on a nonlinear Crank–Nicolson method to approximate the solution of the DGRLW equation is constructed. Some a priori bounds are proved as well as error estimates. Then, a linearized modification scheme by an extrapolation method is discussed. The two schemes are time second order convergence. The last part is devoted to some numerical results. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009

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