Mixed Laguerre-Legendre Spectral Approximation of the Fourth-Order Equations in a Semi-Infinite Channel
Qingqu Zhuang · Journal of Huaqiao University · 2013
Mixed Laguerre-Legendre spectral method without weight function is presented to solve the fourth-order equations in a semi-infinite channel.By constructing appropriate basis functions satisfying the boundary conditions,the coefficient matrix of the corresponding linear system is sparse,and the solution can be solved efficiently.Rigorous analysis of the convergence of this method is carried out.Numerical experiments are given to confirm the convergence and efficiency of the method.