Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations

Druh výsledku
článek v časopise ve Web of Science, Jimp
Popis

Existence and uniqueness of solutions of initial value problem for certain classes of multidimensional
linear and nonlinear partial differential equations are proved using Banach fixed-point theorem. An iterative scheme is derived and rigorous convergence analysis of this scheme and an error estimate are included as well.

Klíčová slova
Partial differential equation
Banach fixed-point theorem
Iterative scheme
Convergence analysis
Error estimate