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Stability and convergence of the variable directions difference scheme for one nonlinear two-dimensional model 被引量：1

Stability and convergence of the variable directions difference scheme for one nonlinear two-dimensional model
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摘要 The system of two-dimensional nonlinear partial differential equations is considered. This system describes the vein formation in meristematic tissues of young leaves. Variable directions difference scheme is constructed and investigated. Absolute stability regarding space and time steps of scheme is shown. The convergence statement for the constructed scheme is proved. Rate of convergence is given. Various numerical experiments are carried out and results of some of them are considered in this paper. Comparison of numerical experiments with the results of the theoretical investigation is given too.
作者 Temur Jangveladze Zurab Kiguradze Mikheil Gagoshidze Maia Nikolishvili
机构地区 Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University Sokhumi State University Ivane Javakhishvili Tbilisi State University
出处 《International Journal of Biomathematics》 2015年第5期31-51,共21页 生物数学学报（英文版）
关键词 Variable directions difference scheme nonlinear partial differential equations stability CONVERGENCE vein formation. 非线性偏微分方程组 差分格式 二维模型 收敛性 稳定性 构造方案 组织形成 时间步长
分类号 O175.29 [理学—数学] O241.82 [理学—基础数学]
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International Journal of Biomathematics
2015年 第5期

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