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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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In this paper, a nonlinear high-order difference scheme is proposed to solve the Extended-Fisher-Kolmogorov equation. The existence, uniqueness of difference solution and priori estimates are obtained. Furthermore, the convergence of the difference scheme is proved by utilizing the energy method to be of fourth-order in space and second-order in time in the discrete $L^{\infty}$-norm. Some numerical examples are given in order to validate the theoretical results.
목차
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참고문헌 (27)
참고문헌 신청
G. Ahlers / 1983 / Vortex-front propagation in rotating Couette-Taylor Tow / Phys. Rev. Lett. 50:1583~1586
G. D. Akrivis / 1992 / Finite difference discretization of Kuramoto-Sivashinsky / Numer. Math. 63(1):1~11
D. G. Aronson / 1978 / Multidimensional nonlinear diffusion arising in population genetics / Adv. in Math. 30(1):33~76
F. E. Browder / 1965 / Existence and uniqueness theorems for solutions of nonlinear boundary value problems / Proc. Sympos. Appl. Math. XVII:24~49
P. Coullet / 1987 / Nature of spatial chaos / Phys. Rev. Lett. 58(5):431~434
G. D. Akrivis / 1992 / Finite difference discretization of Kuramoto-Sivashinsky / Numer. Math. 63(1):1~11
D. G. Aronson / 1978 / Multidimensional nonlinear diffusion arising in population genetics / Adv. in Math. 30(1):33~76
F. E. Browder / 1965 / Existence and uniqueness theorems for solutions of nonlinear boundary value problems / Proc. Sympos. Appl. Math. XVII:24~49
P. Coullet / 1987 / Nature of spatial chaos / Phys. Rev. Lett. 58(5):431~434
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