"1.1 Overview of Hyperbolic Partial Differential Equations"의 두 판 사이의 차이
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| 5번째 줄: | 5번째 줄: | ||
==The One-Way WaveEquation== | ==The One-Way WaveEquation== | ||
$$u_t + au_x = 0$$ | $$u_t + au_x = 0$$ | ||
| + | solution: | ||
| + | $$ u(t,x) = u_0 ( x - at) $$ | ||
2017년 8월 11일 (금) 18:39 판
The important concepts of convergence, consistency, and stability are presented and shown to be related by the Lax-Richtmyer equivalence theorem. The chapter concludes with a discussion of the Courant-Friedrichs-Lewy condition and related topics.
Overview of Hyperbolic Partial Differential Equations
The One-Way WaveEquation
$$u_t + au_x = 0$$ solution: $$ u(t,x) = u_0 ( x - at) $$