Normalized implicit methods for the solution of non-linear elliptic boundary value problems

AbstractNew normalized implicit methods are presented for the solution of self-adjoint elliptic P.D.E.'s in two space dimensions. These methods are used in inner—outer iterative procedures in conjunction with Picard and Newton methods leading to improved composite iterative schemes for the solution of nonlinear elliptic boundary value problems. Applications of the derived methods include a nonlinear 2D magnetohydrodynamic problem and the 2D-Troesch's problem