Unconditionally Explicit Stable Difference Schemes for Solving Some Linear and Non-Linear Parabolic Differential Equation ()
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.
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
References
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