Solution of non-local boundary-value problems for equations of elliptic type with singular coefficients by method of finite differences

Non-local boundary-value problems for quasilinear elliptic equations with singular coefficients are investigated in the paper aiming at the construction and substantiation of a difference method for the numerical solution of non-local problems in the case of quasilinear elliptic equations with singular coefficients. As a result error estimations of the approximate solution with the account of the derivative growth have been obtained. Theorems about convergence have been proved. The unambiguous solvability of difference problems constructed has been proved by a constructive method. The suggested and substantiated new algorithms of the approximate solution finding may be used for the solution of many practical problems of heat conduction, physics of semiconductors, hydromechanics, theory of elasticity and envelopes, etcAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio