A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1207-1212.

• Articles • Previous Articles Next Articles

A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

MA Ming-shu, Wang Tong-ke

Department of Mathematics, Henan Normal University, Xinxiang 453002, P. R. China

Received:1998-08-03 Revised:2000-06-08 Online:2000-10-18 Published:2000-10-18

Abstract

2010 MSC Number:

O241

MA Ming-shu;Wang Tong-ke. A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1207-1212.

TrendMD

[1]	Wei SU, Zhenyu TANG, Bijiao HE, Guobiao CAI. Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations [J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 343-362.
[2]	Zhendong LUO, Fei TENG. Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations [J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(2): 289-310.
[3]	Jing ZHU, Shengnan WANG, Liancun ZHENG, Xinxin ZHANG. Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity [J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(1): 125-136.
[4]	Jing ZHU, Liu ZHENG, Liancun ZHENG, Xinxin ZHANG. Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1131-1146.
[5]	Benwen LI, Shangshang CHEN. Direct spectral domain decomposition method for 2D incompressible Navier-Stokes equations [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1073-1090.
[6]	Guodong ZHANG, Xiaojing DONG, Yongzheng AN, Hong LIU. New conditions of stability and convergence of Stokes and Newton iterations for Navier-Stokes equations [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(7): 863-872.
[7]	M. NAZARI;H. SHOKRI;A. A. MOHAMAD. Lattice Boltzmann simulation of natural convection in open end cavity with inclined hot wall [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(4): 523-540.
[8]	Yirang YUAN;Aijie CHENG;Danping YANG;Changfeng LI;Yunxin LIU. Theory and application of numerical simulation method of capillary force enhanced oil production [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 379-400.
[9]	N. ZHAO;K. IRAMINA. Numerical simulation of effect of convection-diffusion on oxygen transport in microcirculation [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(2): 179-200.
[10]	S. MANSUR;A. ISHAK;I.POP. Flow and heat transfer of nanofluid past stretching/shrinking sheet with partial slip boundary conditions [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1401-1410.
[11]	A. ABEDIAN;J. PARVIZIAN;A. D�STER;E. RANK. Finite cell method compared to h-version finite element method for elasto-plastic problems [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1239-1248.
[12]	Yi-rang YUAN;Chang-feng LI;Tong-jun SUN;Yun-xin LIU. Characteristic fractional step finite difference method for nonlinear section coupled system [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1311-1330.
[13]	Wei ZHU;Shi SHU;Li-zhi CHENG. First-order optimality condition of basis pursuit denoise problem [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1345-1352.
[14]	Jian-kang LIU;Zhou-shun ZHENG. Efficient high-order immersed interface methods for heat equations with interfaces [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1189-1202.
[15]	Quan-wen GE. High-order Lagrangian cell-centered conservative scheme on unstructured meshes [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1203-1222.

A FAMILY OF HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEMES WITH BRANCHING STABILITY FOR SOLVING 3-D PARABOLIC PARTIAL DIFFERENTIAL EQUATION

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments