On the Convergence of An Approximation Method of Mj Lighthill

Cover On the Convergence of An Approximation Method of Mj Lighthill
On the Convergence of An Approximation Method of Mj Lighthill
Wolfgang Richard Wasow
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1) ^^1 The constant c^ depends on the choice of u (£, ) • For the o -^ o ^1 sake of simplicity we set 4 - n . !. , * . & ti ■ ■■ '!
^ jr'i''-i' ■;;i-. ;js:a -. , j ■.
'I. -.
:', . 'j:.. I 1. -. :.
; ■ ■ t r -.
■: '■'::}.
L3i^^::x;l . : ^; p-v:q..
':rt ■ J i o .. I*':>, I « , :»'.
^ m'r''^ -, :^!; •■ Jaift. N?«;&f> ••■i>';j ^e" 'W' - 7 - ^1 = 1 u^d) = b, Ug(l) = 0; s > (3. 2) Xg(l) =, s > (3. 3) and accordingly c^ = b/p(l) . Then the resulting functions x(^), u(4) will satisfy the boundary condi
...tions x(l) = 1, u(l, ) = b .
It is seen from (3 •I) ttiat u has the form u^(^) = 4 \iU) + %2^£. ) (3*U) with u, (4), ^qp^^) holomorphic in \e\ . {3*S) The case q^ f « ^' ^ I .


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