NUMERICAL SOLUTIONS FOR SINGULARLY PERTURBED SEMI-LINEAR PARABOLIC EQUATION

被引：1
作者：
吴启光
李继春
机构：
[1] DepartmentofMathematics,NanjingUniversity,Nanjing,DepartmentofMathematics,NanjingUniversity,Nanjing
来源：
Applied Mathematics and Mechanics(English Edition) | 1993年 / 09期
关键词：
uniform convergence; parabolic equations; non-uniform mesh;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
<正> In this paper,we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension,we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh.The uniform convergence in e of the first order accuracy is obtained.
引用
收藏
页码：793 / 801
页数：9
相关论文
共 50 条
[31]   Adaptive numerical method for singularly perturbed equation with periodical boundary value problem [J].
Cai X. ;
Wu J.-H. ;
Xu M.-S. ;
Li W.-C. .
Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science), 2010, 44 (11) :2214-2219
[32]   Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation [J].
Butuzov V.F. .
Computational Mathematics and Mathematical Physics, 2007, 47 (4) :620-628
[33]   A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation [J].
Muhammet Enes Durmaz ;
Gabil M. Amiraliyev .
Mediterranean Journal of Mathematics, 2021, 18
[34]   A uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equation through non-polynomial spline technique [J].
Tiruneh, Awoke Andargie ;
Derese, Getachew Adamu ;
Ayele, Mulunesh Amsalu .
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2023, 18 (04) :365-377
[35]   A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem [J].
Sunil Sumit ;
Mukesh Kumar .
Computational and Applied Mathematics, 2020, 39
[36]   Uniformly Convergent New Hybrid Numerical Method for Singularly Perturbed Parabolic Problems with Interior Layers [J].
Yadav N.S. ;
Mukherjee K. .
International Journal of Applied and Computational Mathematics, 2020, 6 (2)
[37]   Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems [J].
Clavero, C. ;
Jorge, J. C. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 70 (03) :222-235
[38]   ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers [J].
Mukherjee, Kaushik ;
Natesan, Srinivasan .
NUMERICAL ALGORITHMS, 2011, 58 (01) :103-141
[39]   Uniformly convergent numerical method for singularly perturbed two parameter time delay parabolic problem [J].
Govindarao L. ;
Mohapatra J. ;
Sahu S.R. .
International Journal of Applied and Computational Mathematics, 2019, 5 (3)
[40]   ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers [J].
Kaushik Mukherjee ;
Srinivasan Natesan .
Numerical Algorithms, 2011, 58 :103-141
12345