Open AccessCUBIC MECHANICAL METHOD FOR THE NONLINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS
Author(s) -
R. P. Eissa,
Mona Gad
Publication year - 1990
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.21.1990.4659
Subject(s) - mathematics , nonlinear system , singular integral , convergence (economics) , mathematical analysis , integral equation , singular solution , ideal (ethics) , operator (biology) , elasticity (physics) , physics , quantum mechanics , philosophy , biochemistry , chemistry , epistemology , repressor , economic growth , transcription factor , economics , gene , thermodynamics
Many applied problems in the theory of elasticity can be reduced to the solution of singular integral equations either linear or nonlinear. 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]. 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.