On the Convergence of the Numerical Solution for a Certain Partial Differential
On the Convergence of the Numerical Solution for a Certain Partial Differential
Halina Montvila
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Hence ? A 5i2b-, +2b, +l+b-+Ub. 1 (9. 20) h^Tm l^u(x, y)| = h^Ui 2^ li = bh . 0J'. I , ( -' ii*"!'!! =, n, (a I ri. , . F r?'-C. Fjo)i;j ri r I--: - - i ; -^a)^jg *. '••! f'§i?5 53 It remains to estimate 'o. (9. 22) h2 Z: Z l^u(x, y) | ^h^TT eIt-^^^V^) \ ^^ Rtl^^[i^-^^=-i^^^* -^y --v^ 'A^ - n ^'ji -^ ij. Nr'^ r^+2r cos a+1 ^ Ir 1 2 . It2^M+l M 1 ^ r l\. Ti r (r-1) returning to the original plane, i. E. , letting r = rh we obtain I A „/ „x I ^ Ir 1 h .
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