On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary value problem

In this work we develop a numerical method for the equation: − α ( ∫ 0 1 u ( t ) d t ) u ″ ( x ) + [ u ( x ) ] 2 n + 1 = 0 , x ∈ ( 0 , 1 ) , u ( 0 ) = a , u ( 1 ) = b . We begin by establishing a priori estimates and the existence and uniqueness of the solution to the nonlinear auxiliary problem via...

Ausführliche Beschreibung