TY - JOUR T1 - A New Skew Linear Interpolation Characteristic Difference Method for Sobolev Equation AU - Yang Zhang JO - Journal of Information and Computing Science VL - 2 SP - 109 EP - 116 PY - 2024 DA - 2024/01 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22683.html KW - Sobolev equation KW - characteristic-difference scheme KW - skew linear interpolation KW - convergence AB - A new kind of characteristic-difference scheme for Sobolev equations is constructed by combining characteristic method with the finite-difference method and with the skew linear interpolation method. The convergence of the characteristic-difference scheme is studied. The advantage of this scheme is very effectual to eliminate the numerical oscillations and have potential advantages in other equations.