نوع مقاله : مقاله پژوهشی
نویسندگان
گروه ریاضی کاربردی، دانشکده علوم ریاضی، دانشگاه کاشان، کاشان، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
: In this paper, Galerkin method is proposed for the solution of the nonlinear Boussinesq partial differential equation describing water waves. The main idea in to use generalized Jacobi polynomials (GJPs) as basis functions to deal with spatial derivative such that boundary conditions are satisfied. Error estimate of proposed method is investigated and numerical results show the high accuracy and low CPU time of proposed method and confirmed the theoretical ones. Also, the obtained results show that the method is suitable for fourth order nonlinear and even partial differential equations.
کلیدواژهها [English]
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