TITLE:
Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non-Linear Parabolic Differential Equation
AUTHORS:
Masaharu Nakashima
KEYWORDS:
Runge-Kutta Methods, Method of Lines, Difference Equation, Non-Linear PDE
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.11,
November
27,
2015
ABSTRACT: We present the numerical method for solution of some linear and non-linear parabolic equation. Using idea [1], we will present the explicit unconditional stable scheme which has no restriction on the step size ratio k/h2 where k and h are step sizes for space and time respectively. We will also present numerical results to justify the present scheme.