摘要
A numerical method based on the explicit two-step method in time direction and the mixed finite element method in spatial direction is presented for the symmetric regularized long wave(SRLW)equation.The optimal a priori error estimates(O((∆t)^(2)+h^(m+1)+h^(k+1)))for fully discrete explicit two-step mixed scheme are derived.Moreover,a numerical example is provided to confirm our theoretical results.
基金
supported by the National Natural Science Fund of China(11061021,11301258 and 11361035)
the Scientific Research Projection of Higher Schools of Inner Mongolia(NJZZ12011 and NJZY13199)
the Natural Science Fund of Inner Mongolia Province(2012MS0106 and 2012MS0108)
the Program of Higher-level talents of Inner Mongolia University(125119).
