Title of article
A Legendre Petrov–Galerkin method for fourth-order differential equations
Author/Authors
Ting-Ting Shen، نويسنده , , Kang-Zheng Xing، نويسنده , , He-Ping Ma?، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
9
From page
8
To page
16
Abstract
In this paper, we present a Legendre Petrov–Galekin method for one-dimensional linear
fourth-order differential equations. A Legendre Petrov–Galerkin and Chebyshev collocation
method is developed for the nonlinear Kuramoto–Sivashinsky equation. Numerical results
are presented to demonstrate the efficiency of the proposed schemes, and optimal rates of
convergence in the L2-norm are rigorously derived.
Keywords
Legendre Petrov–Galerkin method , Fourth-order differential equations , Kuramoto–Sivashinsky equation , optimal error estimates
Journal title
Computers and Mathematics with Applications
Serial Year
2011
Journal title
Computers and Mathematics with Applications
Record number
921788
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