Approximate Solution of the Biharmonic Problem in Smooth Domains
Victor D. Didenko, Ezio Venturino · Journal of Integral Equations and Applications · 2006
Using the Goursat representation for the biharmonic function and approximate solutions of a corrected Muskhelishvili equation we construct approximate solutions for biharmonic problems in smooth domains of R 2 .It is shown that the sequence of these approximate solutions converges uniformly on each compact subset of the initial domain D. Under additional conditions it converges uniformly on D. We also provide numerical examples.