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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