TY - JOUR
AU - Eissa, R. P.
AU - Gad, M. M.
PY - 1990/09/01
Y2 - 2022/08/18
TI - CUBIC MECHANICAL METHOD FOR THE NONLINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 21
IS - 3
SE - Papers
DO - 10.5556/j.tkjm.21.1990.4659
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/4659
SP - 201-209
AB - <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Many applied problems in the theory of elasticity can be reduced to the solution of singular integral equations either linear or nonlinear. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">In this paper we shall study a nonlinear system of singular integral equations which appear on the closed Lipanouv surface in an ideal medium [4]. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">We shall find a cubic mechanical method which corresponds to the system and prove its convergence; we obtained a discrete operator which corresponds to this system and study its properties and then a solution to the resulting system of the nonlinear equations which leads to an approximate solution for the original system and its convergence. </span></p></div></div></div>
ER -