Author(s)

Masaharu Nakashima

Kagoshima-shi, Taniyama Chuou 1-4328 891-0141, Japan.

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.

Runge-Kutta Methods, Method of Lines, Difference Equation, Non-Linear PDE

Nakashima, M. (2015) Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non-Linear Parabolic Differential Equation. Journal of Applied Mathematics and Physics, 3, 1506-1521. doi: 10.4236/jamp.2015.311176.