Reproducing Kernel Method for Singularly Perturbed One-Dimensional Initial-Boundary Value Problems with Exponential Initial Layers

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-017-0242-3 ◽

2017 ◽

Vol 17 (1) ◽

pp. 177-187 ◽

Author(s):

Fazhan Geng ◽

Zhiqiang Tang ◽

Yongfang Zhou

Keyword(s):

Boundary Value Problems ◽

Reproducing Kernel ◽

Kernel Method ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reproducing Kernel Method ◽

One Dimensional ◽

Initial Layers ◽

Initial Boundary Value

Download Full-text

The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

Download Full-text

One-dimensional initial-boundary value problems

Thermomechanics of Drying Processes - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-540-36405-4_11 ◽

2003 ◽

pp. 190-219

Author(s):

Stefan J. Kowalski

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

One Dimensional ◽

Initial Boundary Value

Download Full-text

Unique Global Solvability for¶Initial-Boundary Value Problems¶in One-Dimensional Nonlinear Thermoviscoelasticity

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050007 ◽

2000 ◽

Vol 153 (1) ◽

pp. 1-37 ◽

Author(s):

Stephen J. Watson

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Global Solvability ◽

Initial Boundary Value Problems ◽

One Dimensional ◽

Nonlinear Thermoviscoelasticity ◽

Initial Boundary Value

Download Full-text

Numerical solution of singularly perturbed 2D parabolic initial‐boundary‐value problems based on reproducing kernel theory: Error and stability analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22706 ◽

2020 ◽

Author(s):

Mojtaba Fardi ◽

Mehdi Ghasemi

Keyword(s):

Stability Analysis ◽

Numerical Solution ◽

Reproducing Kernel ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reproducing Kernel Theory ◽

Initial Boundary Value ◽

Kernel Theory ◽

Download Full-text

Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids

Computer Physics Communications ◽

10.1016/j.cpc.2014.04.004 ◽

2014 ◽

Vol 185 (7) ◽

pp. 2008-2019 ◽

Author(s):

S. Gowrisankar ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Numerical Scheme ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Convection Diffusion ◽

Initial Boundary Value

Download Full-text

Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(77)90011-9 ◽

1977 ◽

Vol 41 (2) ◽

pp. 273-282 ◽

Author(s):

A.V. Kazhikhov ◽

V.V. Shelukhin

Keyword(s):

Boundary Value Problems ◽

Global Solution ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Unique Global Solution ◽

Viscous Gas ◽

One Dimensional ◽

Initial Boundary Value

Download Full-text

Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_7 ◽

2017 ◽

pp. 87-99 ◽

Author(s):

José Luis Gracia ◽

Eugene O’Riordan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Condition ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

Download Full-text

On Initial Boundary Value Problems for a Viscous, Heat-Conducting, One-Dimensional Real-Gas

Journal of Differential Equations ◽

10.1006/jdeq.1994.1064 ◽

1994 ◽

Vol 110 (2) ◽

pp. 157-181 ◽

Author(s):

S. Jiang

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Heat Conducting ◽

Initial Boundary Value Problems ◽

Real Gas ◽

One Dimensional ◽

Viscous Heat ◽

Initial Boundary Value

Download Full-text

Initial-boundary Value Problems to the One-dimensional Compressible Navier- Stokes-Poisson system with Large Amplitude

Journal of Applied Nonlinear Dynamics ◽

10.5890/jand.2016.06.009 ◽

2016 ◽

Vol 5 (2) ◽

pp. 231-241

Author(s):

Li Wang ◽

Lei Jin

Keyword(s):

Boundary Value Problems ◽

Large Amplitude ◽

Boundary Value ◽

Initial Boundary ◽

Navier Stokes ◽

Initial Boundary Value Problems ◽

Poisson System ◽

One Dimensional ◽

The One ◽

Initial Boundary Value

Download Full-text

Efficient numerical schemes for singularly perturbed parabolic initial-boundary-value problems

PAMM ◽

10.1002/pamm.200700475 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2020073-2020074 ◽

Author(s):

Srinivasan Natesan ◽

Rajdeep Deb

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Numerical Schemes ◽

Initial Boundary Value

Download Full-text