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Results about existence and uniqueness of solutions of initial value problemfor certain types of partial differential equations are recalled as well asiterative scheme and an error estimate for approximate solutions obtained usingthis scheme. Several numerical examples are presented to demonstrate how theproposed iterative scheme can be applied, with emphasis given to verifyingassumptions of using the scheme. Comparison to other recently presented resultsis done in this respect.

Iteration scheme for initial value problem for PDEs: Existence, convergence and comparison