Determine the amplification factor of the ADE method of Saul'yev and examine the stability.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Determine the amplification factor of the ADE method of Saul'yev and examine the
stability.
Transcribed Image Text:Determine the amplification factor of the ADE method of Saul'yev and examine the stability.
The first ADE method was proposed by Saul'yev (1957). His two-step scheme is given by
Step 1:
Step 2:
u+¹ - u
At
u +² _u²+¹
n+1
At
¸u'j±¦ − u²}+¹ − u²} + U'j+1
(Ax)²
¹j-1
= α
¸u”¦+¦ − uņ+¹ − uņ+² + u^; + ²?
-
(Ax)²
= a
(4.106)
Transcribed Image Text:The first ADE method was proposed by Saul'yev (1957). His two-step scheme is given by Step 1: Step 2: u+¹ - u At u +² _u²+¹ n+1 At ¸u'j±¦ − u²}+¹ − u²} + U'j+1 (Ax)² ¹j-1 = α ¸u”¦+¦ − uņ+¹ − uņ+² + u^; + ²? - (Ax)² = a (4.106)
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