Some Efficient Numerical Solutions of Allen-Cahn Equation with Non-Periodic Boundary Conditions
نویسندگان
چکیده
Abstract: This paper presents some numerical methods for Allen-Cahn equation using different time stepping and space discretization methods with non-periodic boundary conditions. In space the equation is discretized by Chebyshev spectral method, while in time the exponential time differencing fourth-order Runge-Kutta (ETDRK4) and implicit-explicit scheme is used. For comparison we also use the finite difference scheme in both space and time.
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تاریخ انتشار 2011