研究领域

偏微分方程的数值解法

论文与著作

研究成果：

  论文

[1] Bo Tang,Yinnian He*, Leilei Wei and Shaoli Wang,Variable-coefficient discrete (G '/G)-expansion method for nonlinear differential-differenceequations, Phys. Lett. A, 375(8), 3355-3361, 2011.

[2] Bo Tang*, Yinnian He, Leilei Wei and Xindong Zhang,  A generalizedfractional sub-equation method for fractional differential equations withvariable coefficients, Phys. Lett. A, 376(38-39), 2588-2590,  2012.

[3] Bo Tang*, Xuemin Wang, Leilei Wei and Xindong Zhang,Exact solutions of fractional heat-like and wave-like equations with variablecoefficients,  Internat. J. Numer.Methods Heat Fluid Flow., 24(2), 455-467, 2014.

[4] Bo Tang*, Xuemin Wang, Yingzhe Fan, Junfeng Qu, ExactSolutions for a Generalized KdV-MKdV Equation with Variable Coefficients，Mathematical Problems in Engineering，2016，5274243：1-10.

[5] Bo Tang*, Yingzhe Fan, Jixiu Wang, Shijun Chen, ExactSolutions for N-Coupled Nonlinear Schrödinger Equations With VariableCoefficients. Zeitschrift für Naturforschung A, 2016, 71(7):665-671.

[6] Bo Tang*, Yingzhe Fan, Jianpin Zhao, Xuemin Wang,Solitary and compacton solutions of    fractional KdV-like equations. Open Physics, Accepted.

[7] Jianpin Zhao*, Bo Tang, Sunil Kumar, Yanren Hou , Theextended fractional sub-equation method for nonlinear fractional differentialequations, Math. Prob. Engine.,2012, Article ID 924956.

[8] Xindong Zhang*, Bo Tang,Yinnian He,  Homotopy analysis method forhigher-order fractional integro-differential equations,Comput.Math. Appl., 62(8), 3194-3203, 2011.

[9] Jianpin Zhao*, Yanren Hou, Haibiao Zheng and Bo Tang, ANew Iterative Method for Linear Systems from XFEM, Math. Prob. Engine., 2014, ArticleID 367802.

[10] Xindong Zhang*, Juan Liu, Juan Wen, Bo Tang, Yinnian He, Analysis forone-dimensional time-fractional Tricomi-type equations by LDG methods, Numer.Algor., 63(1), 143-164. 2012.

[11] LeileiWei, Yinnian He*, Bo Tang, Analysisof the fractional Kawahara equation using an implicit fully discrete localdiscontinuous Galerkin method, Numer. Methods Partial Differential Equations,29(5), 1441–1458, 2013.

[12] Xindong Zhang*, Leilei Wei, Bo Tang and Yinnian He, Homotopy analysis method forspace-time fractional differential equations, Internat. J. Numer. Methods HeatFluid Flow., 23(6), 1063-1075, 2013.

[13] XindongZhang*, Jianping Zhao,Juan Liu, Bo Tang, Homotopy perturbationmethod for two dimensional time-fractional wave equation, Applied MathematicalModelling, 2014, 38(23): 5545-5552.

荣誉与奖励

(a)主持国家自然科学基金数学天元青年基金项目“分数阶薛定谔方程的数值方法研究”，编号：11526088, 时间:2016.1-2016.12。

(b)参与国家自然科学基金青年项目“具有临界指数增长的拟线性薛定谔方程多解的研究”，主持人：汪继秀, 编号:11501186, 时间：2016.1-2018.12。

(c)参与国家自然科学基金面上项目“动脉血管粘弹性发展流动问题高效数值方法研究”，主持人：李剑(教授), 编号:11371031, 时间：2014.1-2017.12。