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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A 제4권 제1호
- 발행연도
- 1997.1
- 수록면
- 17 - 30 (14page)
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In this work we approximate the solution of initialboun-dary value problem using a Galerkin-finite element method for the spatial discretization and Implicit Runge-Kutta method for the spatial discretization and implicit Runge-Kutta methods for the time stepping. To deal with the nonlinear term f(x, t, u), we introduce the well-known extrapolation sheme which was used widely to prove the convergence in $L_2$-norm. We present computational results showing that the optimal order of convergence arising under $L_2$-norm will be preserved in $L_{\infty}$-norm.
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