Verification of Convergence Rates of Numerical Solutions for Parabolic Equations
In this paper, we propose a verification method for the convergence rates of the numerical solutions for parabolic equations. Specifically, we consider the numerical convergence rates of the heat equation, the Allen–Cahn equation, and the Cahn–Hilliard equation. Convergence test results show that if...
Main Authors: | Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Yongho Choi, Junseok Kim |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2019-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2019/8152136 |
Similar Items
-
Nonlinear Multigrid Implementation for the Two-Dimensional Cahn–Hilliard Equation
by: Chaeyoung Lee, et al.
Published: (2020-01-01) -
Finite Difference Method for the Multi-Asset Black–Scholes Equations
by: Sangkwon Kim, et al.
Published: (2020-03-01) -
Basic Principles and Practical Applications of the Cahn–Hilliard Equation
by: Junseok Kim, et al.
Published: (2016-01-01) -
A Simple Benchmark Problem for the Numerical Methods of the Cahn–Hilliard Equation
by: Yibao Li, et al.
Published: (2021-01-01) -
Accuracy, Robustness, and Efficiency of the Linear Boundary Condition for the Black-Scholes Equations
by: Darae Jeong, et al.
Published: (2015-01-01)