An Efficient Numerical Solution of Nonlinear Hunter-Saxton Equation

作     者：Kourosh Parand Mehdi Delkhosh 

作者机构：Department of Computer SciencesShahid Beheshti UniversityG.C.TehranIran Department of Cognitive ModellingInstitute for Cognitive and Brain SciencesShahid Beheshti UniversityG.C.TehranIran 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第5期

页      面：483-492页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Hunter–Saxton equation fractional order of the Chebyshev functions quasilinearization method collocation method nonlinear PDE 

摘      要：In this paper, the nonlinear Hunter–Saxton equation, which is a famous partial differential equation,is solved by using a hybrid numerical method based on the quasilinearization method and the bivariate generalized fractional order of the Chebyshev functions(B-GFCF) collocation method. First, using the quasilinearization method,the equation is converted into a sequence of linear partial differential equations(LPD), and then these LPDs are solved using the B-GFCF collocation method. A very good approximation of solutions is obtained, and comparisons show that the obtained results are more accurate than the results of other researchers.