The decomposition method for approximate solution of the Goursat problem
The Goursat problem in its standard form is solved using Adomian's decomposition method. The methodology is illustrated by studying suitable Goursat examples -- linear and nonlinear -- to establish analytical solutions for these problems. Numerical experiments confirm the superiority of the method, related to the accuracy level, over the existing techniques.
scientific article; zbMATH DE number 761793