1673-159X

CN 51-1686/N

WANG Xi, HE Li, HU Jinsong. Average Implicit Conservative Difference Scheme for Solving Generalized BBM-KdV Equation[J]. Journal of Xihua University(Natural Science Edition), 2022, 41(4): 108 − 112. . DOI: 10.12198/j.issn.1673-159X.3959
Citation: WANG Xi, HE Li, HU Jinsong. Average Implicit Conservative Difference Scheme for Solving Generalized BBM-KdV Equation[J]. Journal of Xihua University(Natural Science Edition), 2022, 41(4): 108 − 112. . DOI: 10.12198/j.issn.1673-159X.3959

Average Implicit Conservative Difference Scheme for Solving Generalized BBM-KdV Equation

  • This paper studies the initial-boundary value problem of a class of generalized BBM-KdV equations with homogeneous boundary conditions, and proposes a three-layer linear average implicit finite difference scheme with second-order theoretical accuracy.; A conservation of the problem itself is reasonably simulated. We give a priori estimate of the difference scheme and discuss the existence and uniqueness of its difference decomposition, and use the discrete functional analysis method to prove the convergence and unconditional stability of the scheme. Finally, the reliability of the numerical method is verified by numerical simulation.
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