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Nakashima, M. (2013) A Study on Unconditionally Stable Explicit Difference Schemes for the Variable Coefficients Parabolic Differential Equation. IJPAM, 87, 587-602.
http://dx.doi.org/10.12732/ijpam.v87i4.8

has been cited by the following article:

• 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.