CHEN 3201 Lecture 48: 2015_5_1 Lecture.pdf

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Solution by finite differences ny nodes for y spaced out by deltay. 2 j = 1 i = 1 2 3 4 5 nx nodes for x spaced out by deltax. Chen3201_numericalmethods page 1 it"s customary to put first node at origin, but don"t have to. Local counters i as the direction in x j as the direction in y fixed y here fixed x in the other one not written down, but understood that way. Bc @ x = 0 i = 1 j = 2:n-1. Bc @ y = 1 j = n i = 2:n-1. Bc @ y = 0 j = 1 i = 2:n-1. Bc @ x = 1 i = n j = 2:n-1. Two fixed matricesuse the avg case 2: one fixed, one derivative, use the fixed value. Problem: ti,j is a matrix convert to a global index --> Chen3201_numericalmethods page 4 convert to a global index -->

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