SINGULARLY_PERTURBED

作品数:204被引量:398H指数:11
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相关作者:莫嘉琪陈松林王庚鲁世平袁永军更多>>
相关机构:安徽师范大学华东冶金学院安徽机电职业技术学院华东师范大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划上海市自然科学基金福建省自然科学基金更多>>
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Numerical Solution of Quasilinear Singularly Perturbed Problems by the Principle of Equidistribution被引量:1
《Journal of Applied Mathematics and Physics》2020年第10期2175-2181,共7页Quan Zheng Fulin Ye 
In this paper, the numerical solution and its error analysis of quasilinear singular perturbation two-point boundary value problems based on the principle of equidistribution are give...
关键词:Quasilinear Singularly Perturbed BVP EQUIDISTRIBUTION Adaptive Mesh Uniform Convergence 
Exponential Spline Solution for Singularly Perturbed Boundary Value Problems with an Uncertain—But—Bounded Parameter
《Journal of Applied Mathematics and Physics》2018年第4期854-863,共10页W. K. Zahra M. A. El-Beltagy A. M. El Mhlawy R. R. Elkhadrawy 
In this paper, we develop a new numerical method which is based on an exponential spline and Shishkin mesh discretization to solve singularly perturbed boundary value problems, which contain a small uncertain perturba...
关键词:SINGULAR Perturbation Problem Shishkin Mesh Two Small Parameters EXPONENTIAL SPLINE Interval ANALYSIS Sensitivity ANALYSIS Monte Carlo Simulations 
Cauchy Problem of the Singularly Perturbed Sixth Order Boussinesq Type Equation
《Journal of Applied Mathematics and Physics》2017年第9期1648-1657,共10页Hong Li Changming Song Li Chen 
In this paper, the existence and uniqueness of the global generalized solution and the global classical solution for the Cauchy problem of the singularly perturbed sixth order Boussinesq type equation are proved.
关键词:BOUSSINESQ EQUATION Cauchy Problem GLOBAL Generalized SOLUTION GLOBAL Classical SOLUTION 
B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
《Journal of Applied Mathematics and Physics》2016年第9期1699-1704,共6页Bin Lin 
We use fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value problems. We use B-spline collocation method, which leads to a tri-diagonal linear system. The ac...
关键词:Fifth Order B-Spline Functions B-Spline Collocation Method Singularly Perturbed Boundary Value Problems 
A Numerical Method for Nonlinear Singularly Perturbed Multi-Point Boundary Value Problem
《Journal of Applied Mathematics and Physics》2016年第6期1143-1156,共14页Musa Çakır Derya Arslan 
We consider a uniform finite difference method for nonlinear singularly perturbed multi-point boundary value problem on Shishkin mesh. The problem is discretized using integral identities, interpolating quadrature rul...
关键词:Singular Perturbation Fitted Finite Difference Method Shishkin Mesh Nonlocal Boundary Condition Uniform Convergence 
Blow-Up of Solution to Cauchy Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
《Journal of Applied Mathematics and Physics》2015年第7期834-838,共5页Changming Song Li Chen 
We consider the singularly perturbed sixth-order Boussinesq-type equation, which describes the bidirectional propagation of small amplitude and long capillary gravity waves on the surface of shallow water for bond num...
关键词:Singularly Perturbed Sixth-Order BOUSSINESQ EQUATION CAUCHY Problem BLOW-UP of Solution 
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