Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (4): 82-91.doi: 10.16088/j.issn.1001-6600.2020.04.010

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Error Analysis of Compact Implicit-Explicit BDF Method forNonlinear Partial Integral Differential Equations

LAN Haifeng, XIAO Feiyan*, ZHANG Gengen, ZHU Rui   

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2019-03-25 Published:2020-07-13

Abstract: In this paper, the compact implicit-explicit BDF method are proposed to solve nonlinear partial integral differential equations, i.e. the equation is discretized by the implicit-explicit BDF method in time and compact finite difference approximations in space. Then, the global convergence of the scheme is proved rigorously with convergence order O(τ2+h4). Finally, numerical examples are presented to verify the accuracy and validity of the numerical scheme.

Key words: nonlinear partial integro-differential equation, implicit-explicit BDF, compact difference scheme, error analysis

CLC Number: 

  • O241.82
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