A fourth-order numerical scheme for solving the modified Burgers equation
نویسندگان
چکیده
منابع مشابه
A Numerical Scheme for the Modified Burgers' Equation
A finite-difference scheme arising from fourth order rational approximants to the matrix-exponential term in a two-time level recurrence relation has been proposed for the numerical solution of the modified Burgers' equation already known in the bibliography. The method leads to the solution of a nonlinear system. To overcome this difficulty a linearized scheme is proposed.
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In this paper, a high-order and unconditionally stable difference method is proposed for the numerical solution of onespace dimensional linear hyperbolic equation. We apply a compact finite difference approximation of fourth-order for discretizing spatial derivative of this equation and a Padé approximation of fifth-order for the resulting system of ordinary differential equations. It is shown ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.06.021